Properties of Triangles  
It would be a shame if CAT 2007 or CAT 2008 aspirants have still not discovered that geometry is one of the most important areas to prepare in the quant section. They should also know that triangle is the most common figure they will see in the geometry section. Be it a quadrilateral or a hexagon, triangles and their properties will be present in every figure. Although the ideal way to learn these properties is to practice and derive all the theorems related to these properties themselves, the students can go through this small compendium to have a quick recap of those formula. The following properties do not cover the similarity of triangles. Of course that will take an entire article by itself.
In the next chapter, I will cover similarity of triangles and its uses. Total Gadha I am afraid I shall have to end here and leave the rest of it for my CBT Club students. I shall cover some problems based on this in the CBT Club this week.

Re: Properties of Triangles  
AWESOME...!!!!! Waiting for Circles........I know they will be here.. Thanks Genius... Gullz 
Re: Properties of Triangles  
Thanks TG. One Correction  Angle (BIC) = 90 + (A/2) in point 7 Srini 
Re: Properties of Triangles  
gud work TG..... i think it is the appolonius theorem and the internal bisector theorem which are used most of the times.. rhishabh 
Re: Properties of Triangles  
hi tg thanks.... it's nice need more topics on triangles 
Re: Properties of Triangles  
Great Stuff....Thanks TG.... Waiting 4 Similarity of triangles.... 
Re: Properties of Triangles  
Dear TG, i want to take printout of the lessons you paste. But i doesnt come out complete. please suggest me how to take full print of lessons. thanks n regards abhi 
Re: Properties of Triangles  
Hi Gullz, Yes, they will be here any time soon. Total Gadha 
Re: Properties of Triangles  
Thanks Rishabh 
Re: Properties of Triangles  
Hi Srini, Corrected. Total Gadha 
Re: Properties of Triangles  
Re: Properties of Triangles  
appreciated !!! ...awesome way to present things .... waiting for upcoming chapters from you ... 
Re: Properties of Triangles  
hey,next time can u plz put a more printer frrinedly page..i would b extremely greatful to u and so will b many oders.. 
Re: Properties of Triangles  
The article is much better than my coaching class stuff thanks TG 
Re: Properties of Triangles  
Hi Gkchamp, The Apollonius theorem is valid for medians, in any triangle. So is internal bisector theorem. Total Gadha 
Re: Properties of Triangles  
Thanks Tripti 
Re: Properties of Triangles  
hey TG simply Great work!!! appreciate your efforts. We hope mensuration is soon coming up, your articles are of great help. 
Re: Properties of Triangles  
I can view them, there's nothing wrong here. Have you changed the settings of your browser? 
Re: Properties of Triangles  
Dear Mr. TG I have come across "Exterior Angle Bisector Thm" But i didnt understand the relation...Can u pls help me in this? Thx in advance. Puneet 
Re: Properties of Triangles  
Hi , What is appolonius theorem ?? can you explain?? srikanth. 
Re: Properties of Triangles  
I was able to derive it... Thx 
Re: Properties of Triangles  
TG Sir, Great Article.. Please teach us about Circles. Waiting for that. Amit.. 
Re: Properties of Triangles  
wooo... I'm short of words.. they way you explain things is brilliant... Keep going... 
Re: Properties of Triangles  
Hie TG Sir, You have summed up the concepts of 8th, 9th and 10th pretty nicely. Thanks Regards 
Re: Properties of Triangles  
hi, i have finished my fundamental exercises on triangle but still i am not able to solve questions on CAT pattern assist me soon 
Re: Properties of Triangles  
TG I didnt understand how in ratio of triangle to trapezium problem how E will be the mid point AB plz reply. 
Re: Properties of Triangles  
awsome article really loved can u post article on circles plzzzzzzzzzzzzzzzzzzz 
Re: Properties of Triangles  
Great article.... Awesome... Thanks TG.. 
Re: @tg  
awesome article.....after reading it i could solve much more problems ....thanks tg....now i will become the insane gadha of this site!!!! 
Re: Properties of Triangles  
Hi TG In the 3rd point of the 4th property do u mean that AD = x ? 
Re: Properties of Triangles  
Its a great article, why didn't I come across it earlier. 
answer  
24 
Re: Properties of Triangles  
that's not possible in rectangle ... a diagonal can never be equal to the longest side ... 
Re: Properties of Triangles  
agreed with sanket..its 24 
Re: Properties of Triangles  
copied frm tg e book 
Re: Properties of Triangles  
hey bro... can u send tg e book of geometry to me,,, plz it would be a great help... my id,.... siddharth.jain_88@in.com 
Re: Properties of Triangles  
sir,,,, plz give some material and shortcuts in geometry 
Re: Properties of Triangles  
thats a mistake... assume AE=EB 
Re: Properties of Triangles  
kanika....pls explain the answer...i have some confusion.......my ans..is 24...but i didnt use.....any data... 
Re: Properties of Triangles  
HI! THANK YOU SO MUCH TO CLEAR THE BASIC CONCEPTS FOR TRIANGLES. ITS A MUST READ ARTICLE. PLEASE,PROVIDE FEW EXAMPLES ON THE SAME CONCEPT FOR PRACTICE. 
Re: Properties of Triangles  
Tanks a lot............hopin formore articles 
Re: Properties of Triangles  
been following you guys for years now.every year a new energy flows into mind while solving your problems. cheerio 
Re: Properties of Triangles  
Hey Kanika & others, Even I tried solving question but also checking the consistency of details as well. Answer do come as 24 Sq. cm but BC=10 cm seems to be misleading If AE=4 & distance between 2 parallel lines is 6 (from Area of triangle AEF = 12) suppose perpendicular from pt C to AB is point X Therefore, CX is the perpendicular distance between two parallel lines. then AC^{2} = AX^{2} + CX^{2} [2(root 13)]^{2} = AX^{2} + 36 AX = 4 i.e. point E & X are same but if BC = 10 and CE/CX = 6 then BX/BE should be 8 but AB = 10 = AE + AB = 4 + 6 i.e. BE = 6 two different values for BE Hope my comments are clear & am not confusing Regret if I did!!!!! Rgds JT 
Re: Properties of Triangles  
Dear Sir, this is about 1st properties of triangle mentioned above. its cleared that sum of a two sides of a triangle is greater than 3rd side. but our professor has also taught one more property based on this which I found as doubtful. If a, b & c are sides of triangle, where c is greater side, then For Right Angled Triangle: c^{2} = a^{2} + b^{2} but: confusion is he also said for obtuse angles triangle: c^{2} > a^{2} + b^{2& for acute angles triangle:}c^{2} < a^{2} + b^{2} I Just want to confirm, is it true always??? 
Re: @tg  
Hi Bhupi, I think, we can draw only one circle touching all the three sides of any triangle. There are no largest & smallest. So distance should be zero. 
Re: Properties of Triangles  
Hey send it to me too, if u get it my email ID is jeevraj.vjti@gmail.com 
Re: Properties of Triangles  
I dont find any reason to spoil the forum like this. if U cant value add anything, stay away!!!!!! 
Re: Properties of Triangles  
cant understand how to approach this question: The sides of triangle ABC are a cm, b cm and c cm. The sides of triangle DEF are d cm, e cm and f cm. The following relations hold true. a (a + b + c) = d2 b (a + b + c) = e2 c (a + b + c) = f2 Then triangle DEF is pls respond 