Crash Course Overview on Triangles

[Music] hey glass good evening everyone how are you all doing today I go pal pallie well welcome you all to this special session which we have arranged for you and which is the crash course first topic triangle and but should I keep it very comprehensive like within 10 minutes or 15 minutes I will finish it off so that you will get a proper idea one request from my side is you first finish everything and I would be telling you all key whether you have skipped anything or not okay and how to remember all the informations and what kind of questions are important all the important questions which are there in the topic triangle I have already covered in the previous three videos on the topic triangles first when I have done congruence of triangle second one I have done anka inequalities and third one I have done on the hots question so all those three sessions sessions if you have not washed yet go through those videos you will get all the awesome and important questions in those three videos and today I will be talking about all the topics which you have to cover and which you have to keep in your mind and the mind mapping I will be telling you all okay but - so the first thing is you have to know a job like share and subscribe to Vedanta is class 9th and 10 general but let's move ahead first now so let us start the today's class okay you know let's start huh so the topic is from as virtual topic is triangles now focus this thing very clearly key geometry is a topic now on geometry Manor you have to remember each and every part of the previous chapter maths is a subject like that suppose you are studying SST okay French Revolution if you are studying there is no need for you to know about the Indian struggle Indian freedom struggle no need about that leave that not related much you can solve that question separately solve this question separately but same is not good with the myths suppose if you are not good with lines and angles and you think you can do the question of triangles no more be possible because geometry is algebra Mets Mets is all interlinked understood so each and every chapter matters a lot to you as I have told you always but Shuggie algebra is the base for you till grade 10th algebra is the base for all the chapters algebra is the base for all the chapters do it any question and after the geometry virtual geometric Oh is there the basic shapes the basic properties that is very important and your before that you're just done mantra or topic which is lines and angles which you've already done in the previous classes but this time we have done in very like thoroughly or done and I have done the videos on that topic as well the classes I have conducted on that topic as well along with the proofs of all the theorems so everything I have done if you are not watched it you can go to again go again back to those videos if you and you can see those videos back again and now let's move a bit so so triangles topic is there so first I will say keep there are two parts in this topic majorly two parts nothing much one is congruence of triangles and one is triangular inequalities two types of problems are there majorly okay I am NOT talking about the basics which we already know basics part I'm not talking triangle some property exterior angle theorem this we are already done with it we are already done with it and we have done this in grade 9 also in lines and angles topic okay so that part of idea is are done now in this chapter the main two part which will indicate we have what is you have to look for the first thing is if they are asking you key prove that this side is equal to this this angle is equal to this so something like that question they will ask to try to think he hahaha congruence can be helping me in this part okay so that will relate to the Congress of triangles and sometimes they will say gets approve if some of these two sides is greater than this side some of these two sides is written on this side so in that case but so you can say key inequalities my proof we come in here okay so these are the two major topics here and in the Congress of triangles but you you have done all these five theorems side angle side angle side angle side side side angle angle side right angle hypotenuse eye truth so I will just give you the brief about these four these five as well so these are the five ways to prove any triangles congruent we'll talk about this in further and then we have triangular inequalities the one is based on the sum of sides this is saying key sum of two sides is always greater than the third side in a triangle and this is the relationship between angle and sides in a triangle so these are the whole sum the everything of this topic okay and if you are in each and every other part of this you will be good but many times but she will ask me key son how do I find out which method to use Dubey yeah suppose if you are going to a restaurant you don't know when you are going to a restaurant you don't know give what are you going to eat for short okay you don't know you might start with key sir chicken tandoori will have sir paneer butter masala something right so what is acting with Toby you go there you see he oho what is good here what is good which is costly which is cheap according to that we'll pick it the right so I cannot tell you now without the question without looking at the question so I will just tell you how to look at the question always as I have told you but showing you will be watching my classes I have always told you geometry may must the one thing which I will tell all my students to do must is draw a diagram if the diagram is not there draw a diagram because visualization visualization helps us a lot suppose if I'll tell you ki ha ha ha I was not teaching you suppose on this video mode I was teaching you only on this phone or radio how effective it would have been rather than seeing it on the board and something it helps a lot right so that is why the visualization matters a lot ok eyes are very like hyperactive our sense of organ right so visualization is very important so draw the diagram draw mark the important points which are given if they are giving a B is equal to BC so mark it here if they are giving angle B is 90 degrees show show it that if it is median so median if it is there to show keep HR this M if I am saying suppose ki let us say kam is median to a triangle ABC let us say I told this key sir a triangle ABC was there okay and a.m. is a median so just don't draw this am is a median so don't do this a key a.m. we have drawn and then you're leaving no no draw am and then show this also get a chubby M is equal to MC so that this thing will be in your head Kia Chaser BM is equal to MC and AM is common in these two triangles so then this way you have to make your like head go Kehaar where you have to think that direction is very important and that you will get only when you're drawing diagram and second thing marking everything which is told to you in the question in the given diagram and then think about that question so these two steps are must draw the diagram and then plot everything which is given in the question in the diagram and then start thinking about it how it can be done okay so always remember to now key to prove any two triangles congruent to prove any two triangles congruent every time we need only three things every time we need only three things okay now see if side-side-side is the most easiest part if two triangles are congruent and you know keep one side is common and are the two sides are equal in the way you go out all the three sides equal they are congruent so this part two very easy to tackle very easily people can get this part the second most important part comes when key sir mainly students get confused in these two parts okay I would say key side angle side and right angle hypotenuse side well I will I will explain each and every part of it one by one so side angle side is much you remember one thing more it is two sides and the angle between them two sides and the angle between them side angle side is two sides these two sites end angle between them you cannot pick this Wrangell no no no no two sides and the angle between them only will give you side angle side understood so when you go to combination when you in even if you suppose if you are able to say spot in any triangle key to sites and the angle between them is given so then try to look in the other part of the triangle as well key okay two sides and one more triangle I need so try to look for those things then you will see key SAS is working in writing and I put in the side will is what key right angle you can see is one angle hypotenuse is a side and this is also one side so there are also two sides one angle two sides one angle but here it you can see the two sides and the angle between them but here one right angle one right angle one hypotenuse and then any one side out of perpendicular base even hypotenuse is not if you will say key sir I don't know about the high protein years I don't know about the I know keys are perpendicular and days are equal to each other thigh will say giver here that is not RHS now if you don't know about hypotenuse so you can see it is a side angle side okay so when you know only these two things when you go inland use these two things perpendicular base and the right angle is equal that will become SAS but if you know the hypotenuse and you know key that is the right angle triangle and any one side is equal to the other side you will say that is the RHS rule and it is just an extended version of it because according to the Pythagoras theorem the third side week without side will be equal definitely the third side will be equal because if two sides are equal P Square plus P square plus B square is equal to hypotenuse square so if two values are equal third value has to be equal right so they will be congruent sure no let's move ahead so now we have think this thing AAS and a si two angles one side two angles one side but the difference is angle side angle is two angles two angles and the side containing both the angles one side which is containing both the angle jello here let us say this so you can see much so this is one angle formed here this is one angle formed here okay so angle side angle that part angle side angle angle side angle so this is called angle side angle two angles and the site containing them but in angle angle side two continuous angle and the third side any rotation you can go you can go like this also angle angle and decide angle angle and decide any way to continue angle and the third side to continue angle and the third side either go clockwise or anti-clockwise and so it doesn't matter but two continuous angle and clockwise go in that pattern so try to identify any one triangle you will be able to see see in any one triangular you will get to know these things any one triangle it is very easy to spot whether it is sss just check for how many information are given in a triangle it is not necessary to go for both the triangles okay first see any one triangle key what kind of information are given in any one triangle SSS si si si AAS or RHS now whatever kind of innovation you got from that triangle try to look for the same in the other part okay so these are the five rules here and then macho we have the triangular inequality theorem it says key the sum of length of any two sides is greater than the third side so there are very easy questions based on in one is what key they will ask you whether these kind of triangles are possible or not so in that case you have to just check some of the largest side should be less than the sum of other two sides then second type of question is key prove that prove that the quadrilateral question they will ask prove that the sum of the diagonals is less than the sum of the four sides or something like that so those kind of questions which I have already covered in the inequality part so these kind of questions are coming from this part and this very easy topic let's move ahead then the next relation which is in triangular any inequality is about your smallest angle relation so here what is happening but your key remember this thing in a triangle if largest side you have found found your found key sir this is my largest side the opposite of the largest side will be the largest angle of the triangle so largest angle and not the side they are opposed to each other similarly smallest angle and smaller side they are opposite to each other and similarly the middle side the middle one the medium medium side is equal to the medium angle so where this can be used but here this will give us the property of I so sillas and equilateral this will give us a property of Isis perimeter equilateral Isis less has two sides equal so angle opposite to this and opposite to this so two angles will be equal in nicest list and since in an equilateral all three are equal so all three angles should also be equal so all three angles only 60 60 60 so from here we get to know because of that inequality we are getting the properties of Isis LS and equilateral okay but so so these are the question these are the topics which you have to remember keep in your head and then start solving a question now I'm just giving you one question fourth so that for your part key how do you apply these knowledge here so let us say but sure the question is the angle between the bisector of two acute angle of a right angle triangle what is the angle between the bisector of 2aq so first thing they are telling me give what a right angle triangle to tell us a right angle triangle this here right angle triangle is here the bisector of two acute angles so one bisector of this acute angle so let us draw the bisector of these acute angles so so bisector let us draw this bisector here this Bicetre means this angle and this angle both are equal and let us wrote this bisector here this bisector means this angle and this angle both are equal right fossa right correct what does saying you have to find out the angle between the bisector of two acute angles so that means by yak if you have to find out what is this angle or this angle because both will be equal by because they are vertically opposite angles so let us say this is a this is also a now if it is a if it is this is 90 degree I now know but you key a B see if angle B is 90 degree I can say angle A plus angle C is 90 degree right because be alone is 90 degree so a plus B plus C is 180 shift B their 180 minus 90 is 90 so a plus C is 90 so this F whole is angle a this is a by 2 this is a by 2 this is C by 2 this is C by 2 right correct correct so here if you have got virtue as you can see keep this whole part it is a by 2 this now take trying a let us say this is D and this is e now talk about a triangle abd so in triangle abd abd you can say but so key that angle B angle D will be a by 2 plus 90 plus 90 plus angle ADB will be equal to 180 degree so from here we'll be getting angle ADB will be equal to 180 minus a by 2 similarly now take the triangle be easy take the triangle BDC so in this part you will getting this angle BC angle B ecbert so again using the angle sum property you will be getting angle B EC will be equal to not 1 et minus a by 2 it will be 90 minus a by 2 because 180 minus 90 will be 90 minus a by 2 so angle BC will be 90 minus C by 2 because this C by 2 is already here okay now I need to find out angle a so I got to know key so this is 180 minus a by 2 90 minus a by 2 and this is 90 minus C by 2 so now to let us say this is 0.02 e o DB is a quadrilateral G or DB is a quadrilateral so sum of all the four angles should be equal to 360 degree but I will say keys are 90 minus C by 2 Plus this angle A plus 90 minus a by 2 plus angle B which is 90 degree sum of four angles should be equal to 360 degrees so now 90 plus 90 is 180 plus 90 is 270 and minus of this - if I take pounds from these two I will be getting a plus C whole divided by 2 plus this a is equal to 360 a plus C but so you can see a plus C is 90 here so 90 by 2 is 45 so you got 270 minus 45 plus a 270 so I am writing this part here 270 minus 45 plus a is equal to 360 the water getting 270 shifted here so 90 + 90 + 40 weight so you'll be getting a is equal to 135 degree so this is the angle between the bisector what is that 135 degree so this is how you have to think about the problem when you draw the part it is very easy to visualize see as soon as I drew the angle bisector I saw a by 2 here a by 2 here C by 2 here C by 2 here and then I Sakia chaja these two angles will be equal to I got to donkey this angle can be in this way so this is a virtue you have to use your brain and the applied concepts so that you can get ahead okay but so so this is how you are going to prepare for your triangle sketch crash course as I have one more question I have taken so let us solve this question very quickly so they are saying key in the given figure PS is a median extended up to f2 PS is a medium but so if PS is a median I can say Kissel Q s is equal to SR quickly will do it Q s is equal to SR then up to s and Q E and RFI perpendicular okay so they are already shown drawn from Q and R okay prove that QE q is equal to RF q is equal to RF I can easily prove if I can prove these two triangles congruent if I can prove these are triangles congruent I can easily prove that Q E is equal to RF how to do it first thing very easy first the thing they have told Q s is equal to RF both are the sides into that part and I got to know right angle is also their right angle is also there so now but so most of you will think keen on on also right angle hypo to be a side role and you will waste your whole time and writing he said Q is equal to RF forever yeah that you have to prove why you are writing that okay and then you will see sir s e is equal to SF how can you say that so don't think which don't write the things which are not there or which you cannot prove I don't have an idea so I thought is a right angle and hypotenuse is there so that might work but I don't know anything about the other two sides so now start looking for other information and when you start looking for another in some omission you will see key sir this is vertically opposite angle now you can see what you hear angle angle side angle angle side to by a s similarity it will be proved congruence okay so this is how you have to think and find out the part key which will follow which will not follow understood and then solve the question so it is very important to draw the diagram then look for the information look out for the information and then try to solve the equation okay but so so this is all in my side and I see you soon in the next class but you do download with on through there you're getting all the free facilities they're free doubt solving facility free study material and schedule of the master classes as well also you can download the PDF of your master classes which you have attended join the telegram group and lose like share and subscribe to this video if you think it has helped into your preparation and if you think it has given your guidance in a way and you can reach out to me for any query at Gopal dot poly bar at Vedanta calm and I will reply you as soon as I will be available and I'll definitely reply you so this is all from my side watch I'll see you soon till then bye bye good night and all the rest for examination don't take much stress okay prepare well prepare hard prepare smart but don't take tension don't take tension okay smartly prepare have fun okay if you are prepared well if you are prepared well if you are done well don't be afraid exams will go over ok Bojo so all the best and let's see how much marks you will be getting and anyone who is getting good marks can just post me in the comment box and I would be really happy to know key this videos were helpful to you ok bye ciao so till then bye bye good night I'll see you soon [Music]

[Music] hey glass good evening everyone how are you all doing today I go pal pallie well welcome you all to this special session which we have arranged for you and which is the crash course first topic triangle and but should I keep it very comprehensive like within 10 minutes or 15 minutes I will finish it off so that you will get a proper idea one request from my side is you first finish everything and I would be telling you all key whether you have skipped anything or not okay and how to remember all the informations and what kind of questions are important all the important questions which are there in the topic triangle I have already covered in the previous three videos on the topic triangles first when I have done congruence of triangle second one I have done anka inequalities and third one I have done on the hots question so all those three sessions sessions if you have not washed yet go through those videos you will get all the awesome and important questions in those three videos and today I will be talking about all the topics which you have to cover and which you have to keep in your mind and the mind mapping I will be telling you all okay but - so the first thing is you have to know a job like share and subscribe to Vedanta is class 9th and 10 general but let&#39;s move ahead first now so let us start the today&#39;s class okay you know let&#39;s start huh so the topic is from as virtual topic is triangles now focus this thing very clearly key geometry is a topic now on geometry Manor you have to remember each and every part of the previous chapter maths is a subject like that suppose you are studying SST okay French Revolution if you are studying there is no need for you to know about the Indian struggle Indian freedom struggle no need about that leave that not related much you can solve that question separately solve this question separately but same is not good with the myths suppose if you are not good with lines and angles and you think you can do the question of triangles no more be possible because geometry is algebra Mets Mets is all interlinked understood so each and every chapter matters a lot to you as I have told you always but Shuggie algebra is the base for you till grade 10th algebra is the base for all the chapters algebra is the base for all the chapters do it any question and after the geometry virtual geometric Oh is there the basic shapes the basic properties that is very important and your before that you&#39;re just done mantra or topic which is lines and angles which you&#39;ve already done in the previous classes but this time we have done in very like thoroughly or done and I have done the videos on that topic as well the classes I have conducted on that topic as well along with the proofs of all the theorems so everything I have done if you are not watched it you can go to again go again back to those videos if you and you can see those videos back again and now let&#39;s move a bit so so triangles topic is there so first I will say keep there are two parts in this topic majorly two parts nothing much one is congruence of triangles and one is triangular inequalities two types of problems are there majorly okay I am NOT talking about the basics which we already know basics part I&#39;m not talking triangle some property exterior angle theorem this we are already done with it we are already done with it and we have done this in grade 9 also in lines and angles topic okay so that part of idea is are done now in this chapter the main two part which will indicate we have what is you have to look for the first thing is if they are asking you key prove that this side is equal to this this angle is equal to this so something like that question they will ask to try to think he hahaha congruence can be helping me in this part okay so that will relate to the Congress of triangles and sometimes they will say gets approve if some of these two sides is greater than this side some of these two sides is written on this side so in that case but so you can say key inequalities my proof we come in here okay so these are the two major topics here and in the Congress of triangles but you you have done all these five theorems side angle side angle side angle side side side angle angle side right angle hypotenuse eye truth so I will just give you the brief about these four these five as well so these are the five ways to prove any triangles congruent we&#39;ll talk about this in further and then we have triangular inequalities the one is based on the sum of sides this is saying key sum of two sides is always greater than the third side in a triangle and this is the relationship between angle and sides in a triangle so these are the whole sum the everything of this topic okay and if you are in each and every other part of this you will be good but many times but she will ask me key son how do I find out which method to use Dubey yeah suppose if you are going to a restaurant you don&#39;t know when you are going to a restaurant you don&#39;t know give what are you going to eat for short okay you don&#39;t know you might start with key sir chicken tandoori will have sir paneer butter masala something right so what is acting with Toby you go there you see he oho what is good here what is good which is costly which is cheap according to that we&#39;ll pick it the right so I cannot tell you now without the question without looking at the question so I will just tell you how to look at the question always as I have told you but showing you will be watching my classes I have always told you geometry may must the one thing which I will tell all my students to do must is draw a diagram if the diagram is not there draw a diagram because visualization visualization helps us a lot suppose if I&#39;ll tell you ki ha ha ha I was not teaching you suppose on this video mode I was teaching you only on this phone or radio how effective it would have been rather than seeing it on the board and something it helps a lot right so that is why the visualization matters a lot ok eyes are very like hyperactive our sense of organ right so visualization is very important so draw the diagram draw mark the important points which are given if they are giving a B is equal to BC so mark it here if they are giving angle B is 90 degrees show show it that if it is median so median if it is there to show keep HR this M if I am saying suppose ki let us say kam is median to a triangle ABC let us say I told this key sir a triangle ABC was there okay and a.m. is a median so just don&#39;t draw this am is a median so don&#39;t do this a key a.m. we have drawn and then you&#39;re leaving no no draw am and then show this also get a chubby M is equal to MC so that this thing will be in your head Kia Chaser BM is equal to MC and AM is common in these two triangles so then this way you have to make your like head go Kehaar where you have to think that direction is very important and that you will get only when you&#39;re drawing diagram and second thing marking everything which is told to you in the question in the given diagram and then think about that question so these two steps are must draw the diagram and then plot everything which is given in the question in the diagram and then start thinking about it how it can be done okay so always remember to now key to prove any two triangles congruent to prove any two triangles congruent every time we need only three things every time we need only three things okay now see if side-side-side is the most easiest part if two triangles are congruent and you know keep one side is common and are the two sides are equal in the way you go out all the three sides equal they are congruent so this part two very easy to tackle very easily people can get this part the second most important part comes when key sir mainly students get confused in these two parts okay I would say key side angle side and right angle hypotenuse side well I will I will explain each and every part of it one by one so side angle side is much you remember one thing more it is two sides and the angle between them two sides and the angle between them side angle side is two sides these two sites end angle between them you cannot pick this Wrangell no no no no two sides and the angle between them only will give you side angle side understood so when you go to combination when you in even if you suppose if you are able to say spot in any triangle key to sites and the angle between them is given so then try to look in the other part of the triangle as well key okay two sides and one more triangle I need so try to look for those things then you will see key SAS is working in writing and I put in the side will is what key right angle you can see is one angle hypotenuse is a side and this is also one side so there are also two sides one angle two sides one angle but here it you can see the two sides and the angle between them but here one right angle one right angle one hypotenuse and then any one side out of perpendicular base even hypotenuse is not if you will say key sir I don&#39;t know about the high protein years I don&#39;t know about the I know keys are perpendicular and days are equal to each other thigh will say giver here that is not RHS now if you don&#39;t know about hypotenuse so you can see it is a side angle side okay so when you know only these two things when you go inland use these two things perpendicular base and the right angle is equal that will become SAS but if you know the hypotenuse and you know key that is the right angle triangle and any one side is equal to the other side you will say that is the RHS rule and it is just an extended version of it because according to the Pythagoras theorem the third side week without side will be equal definitely the third side will be equal because if two sides are equal P Square plus P square plus B square is equal to hypotenuse square so if two values are equal third value has to be equal right so they will be congruent sure no let&#39;s move ahead so now we have think this thing AAS and a si two angles one side two angles one side but the difference is angle side angle is two angles two angles and the side containing both the angles one side which is containing both the angle jello here let us say this so you can see much so this is one angle formed here this is one angle formed here okay so angle side angle that part angle side angle angle side angle so this is called angle side angle two angles and the site containing them but in angle angle side two continuous angle and the third side any rotation you can go you can go like this also angle angle and decide angle angle and decide any way to continue angle and the third side to continue angle and the third side either go clockwise or anti-clockwise and so it doesn&#39;t matter but two continuous angle and clockwise go in that pattern so try to identify any one triangle you will be able to see see in any one triangular you will get to know these things any one triangle it is very easy to spot whether it is sss just check for how many information are given in a triangle it is not necessary to go for both the triangles okay first see any one triangle key what kind of information are given in any one triangle SSS si si si AAS or RHS now whatever kind of innovation you got from that triangle try to look for the same in the other part okay so these are the five rules here and then macho we have the triangular inequality theorem it says key the sum of length of any two sides is greater than the third side so there are very easy questions based on in one is what key they will ask you whether these kind of triangles are possible or not so in that case you have to just check some of the largest side should be less than the sum of other two sides then second type of question is key prove that prove that the quadrilateral question they will ask prove that the sum of the diagonals is less than the sum of the four sides or something like that so those kind of questions which I have already covered in the inequality part so these kind of questions are coming from this part and this very easy topic let&#39;s move ahead then the next relation which is in triangular any inequality is about your smallest angle relation so here what is happening but your key remember this thing in a triangle if largest side you have found found your found key sir this is my largest side the opposite of the largest side will be the largest angle of the triangle so largest angle and not the side they are opposed to each other similarly smallest angle and smaller side they are opposite to each other and similarly the middle side the middle one the medium medium side is equal to the medium angle so where this can be used but here this will give us the property of I so sillas and equilateral this will give us a property of Isis perimeter equilateral Isis less has two sides equal so angle opposite to this and opposite to this so two angles will be equal in nicest list and since in an equilateral all three are equal so all three angles should also be equal so all three angles only 60 60 60 so from here we get to know because of that inequality we are getting the properties of Isis LS and equilateral okay but so so these are the question these are the topics which you have to remember keep in your head and then start solving a question now I&#39;m just giving you one question fourth so that for your part key how do you apply these knowledge here so let us say but sure the question is the angle between the bisector of two acute angle of a right angle triangle what is the angle between the bisector of 2aq so first thing they are telling me give what a right angle triangle to tell us a right angle triangle this here right angle triangle is here the bisector of two acute angles so one bisector of this acute angle so let us draw the bisector of these acute angles so so bisector let us draw this bisector here this Bicetre means this angle and this angle both are equal and let us wrote this bisector here this bisector means this angle and this angle both are equal right fossa right correct what does saying you have to find out the angle between the bisector of two acute angles so that means by yak if you have to find out what is this angle or this angle because both will be equal by because they are vertically opposite angles so let us say this is a this is also a now if it is a if it is this is 90 degree I now know but you key a B see if angle B is 90 degree I can say angle A plus angle C is 90 degree right because be alone is 90 degree so a plus B plus C is 180 shift B their 180 minus 90 is 90 so a plus C is 90 so this F whole is angle a this is a by 2 this is a by 2 this is C by 2 this is C by 2 right correct correct so here if you have got virtue as you can see keep this whole part it is a by 2 this now take trying a let us say this is D and this is e now talk about a triangle abd so in triangle abd abd you can say but so key that angle B angle D will be a by 2 plus 90 plus 90 plus angle ADB will be equal to 180 degree so from here we&#39;ll be getting angle ADB will be equal to 180 minus a by 2 similarly now take the triangle be easy take the triangle BDC so in this part you will getting this angle BC angle B ecbert so again using the angle sum property you will be getting angle B EC will be equal to not 1 et minus a by 2 it will be 90 minus a by 2 because 180 minus 90 will be 90 minus a by 2 so angle BC will be 90 minus C by 2 because this C by 2 is already here okay now I need to find out angle a so I got to know key so this is 180 minus a by 2 90 minus a by 2 and this is 90 minus C by 2 so now to let us say this is 0.02 e o DB is a quadrilateral G or DB is a quadrilateral so sum of all the four angles should be equal to 360 degree but I will say keys are 90 minus C by 2 Plus this angle A plus 90 minus a by 2 plus angle B which is 90 degree sum of four angles should be equal to 360 degrees so now 90 plus 90 is 180 plus 90 is 270 and minus of this - if I take pounds from these two I will be getting a plus C whole divided by 2 plus this a is equal to 360 a plus C but so you can see a plus C is 90 here so 90 by 2 is 45 so you got 270 minus 45 plus a 270 so I am writing this part here 270 minus 45 plus a is equal to 360 the water getting 270 shifted here so 90 + 90 + 40 weight so you&#39;ll be getting a is equal to 135 degree so this is the angle between the bisector what is that 135 degree so this is how you have to think about the problem when you draw the part it is very easy to visualize see as soon as I drew the angle bisector I saw a by 2 here a by 2 here C by 2 here C by 2 here and then I Sakia chaja these two angles will be equal to I got to donkey this angle can be in this way so this is a virtue you have to use your brain and the applied concepts so that you can get ahead okay but so so this is how you are going to prepare for your triangle sketch crash course as I have one more question I have taken so let us solve this question very quickly so they are saying key in the given figure PS is a median extended up to f2 PS is a medium but so if PS is a median I can say Kissel Q s is equal to SR quickly will do it Q s is equal to SR then up to s and Q E and RFI perpendicular okay so they are already shown drawn from Q and R okay prove that QE q is equal to RF q is equal to RF I can easily prove if I can prove these two triangles congruent if I can prove these are triangles congruent I can easily prove that Q E is equal to RF how to do it first thing very easy first the thing they have told Q s is equal to RF both are the sides into that part and I got to know right angle is also their right angle is also there so now but so most of you will think keen on on also right angle hypo to be a side role and you will waste your whole time and writing he said Q is equal to RF forever yeah that you have to prove why you are writing that okay and then you will see sir s e is equal to SF how can you say that so don&#39;t think which don&#39;t write the things which are not there or which you cannot prove I don&#39;t have an idea so I thought is a right angle and hypotenuse is there so that might work but I don&#39;t know anything about the other two sides so now start looking for other information and when you start looking for another in some omission you will see key sir this is vertically opposite angle now you can see what you hear angle angle side angle angle side to by a s similarity it will be proved congruence okay so this is how you have to think and find out the part key which will follow which will not follow understood and then solve the question so it is very important to draw the diagram then look for the information look out for the information and then try to solve the equation okay but so so this is all in my side and I see you soon in the next class but you do download with on through there you&#39;re getting all the free facilities they&#39;re free doubt solving facility free study material and schedule of the master classes as well also you can download the PDF of your master classes which you have attended join the telegram group and lose like share and subscribe to this video if you think it has helped into your preparation and if you think it has given your guidance in a way and you can reach out to me for any query at Gopal dot poly bar at Vedanta calm and I will reply you as soon as I will be available and I&#39;ll definitely reply you so this is all from my side watch I&#39;ll see you soon till then bye bye good night and all the rest for examination don&#39;t take much stress okay prepare well prepare hard prepare smart but don&#39;t take tension don&#39;t take tension okay smartly prepare have fun okay if you are prepared well if you are prepared well if you are done well don&#39;t be afraid exams will go over ok Bojo so all the best and let&#39;s see how much marks you will be getting and anyone who is getting good marks can just post me in the comment box and I would be really happy to know key this videos were helpful to you ok bye ciao so till then bye bye good night I&#39;ll see you soon [Music]

Transcript for:Crash Course Overview on Triangles

Transcript for:
Crash Course Overview on Triangles