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Re: Everything About Triangles For GMAT. [#permalink]
 24 Nov 2009, 10:49
awesome guide thanks!
so there are other guides like this? I'm taking the GMAT tomorrow, I would love to have a quick but thorough review. can someone post the other guides? Thanks
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Re: Everything About Triangles For GMAT. [#permalink]
24 Nov 2009, 11:06
manifestdestiny wrote: awesome guide thanks!
so there are other guides like this? I'm taking the GMAT tomorrow, I would love to have a quick but thorough review. can someone post the other guides? Thanks Check out sticky threads in Math and Verbal forums. Pretty much everything important is collected up there. and Good luck for tomorrow!
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Re: Everything About Triangles For GMAT. [#permalink]
24 Nov 2009, 15:48
+1 I would give +10 for this million dollar resources if it were allowed. You wont find this much materials free of cost anywhere in the world. You are highly resourceful. 
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Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
GT
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Re: Everything About Triangles For GMAT. [#permalink]
24 Nov 2009, 22:42
Thanks Bunuel, wonderpost. concise, crisp and containing all the key properties of triangle. It would have taken me ages to assimilate all those in on single piece of paper. Thanks a lot!! +2!!!!!
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Re: Everything About Triangles For GMAT. [#permalink]
24 Nov 2009, 23:18
thanks for the Information.People like you make the internet a better place  . Printing this out now. Request to the moderator-you could put all the links of subject info like this one into one page.Is there a forum page like that?
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Re: Everything About Triangles For GMAT. [#permalink]
24 Nov 2009, 23:58
Thank you so much.
This is massive
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Re: Math: Triangles [#permalink]
08 Dec 2009, 16:33
Thank you for the awesome post..
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Re: Math: Triangles [#permalink]
27 Dec 2009, 07:04
logan wrote: Exceptional... a really well compiled data on triangles and their properties...
the best part was to mention the problems from the official GMAT books.... +2
i think it would be worth mentioning the sine and cosine rules of triangles...
The law of sines (or Sine Rule):
If A, B and C are the angles made by the sides a= BC, b= CA & c= AB at the vertices of a triangle ABC, then according to the sine rule, (a/sin A) = (b/sin B) = (c/sin C)
The law of sines can be used to compute the remaining sides of a triangle when two angles and a side are known.
The law of cosines (or Cosine Rule) :
If A, B and C are the angles made by the sides a= BC, b= CA & c= AB at the vertices of a triangle ABC, then according to the cosine rule,
a^2 = b^2 + c^2 - 2bc(cos A); b^2 = a^2 + c^2 - 2ac(cos B); c^2 = a^2 + b^2 + 2ab(cos C)
The law of cosines is useful for computing the third side of a triangle when two sides and their enclosed angle are known, and in computing the angles of a triangle if all three sides are known. I withdrawn these rules as well as some other properties and formulas (there are plenty of them), as GMAT problems doesn't require knowing them for solving. No GMAT guide (as I know) mentions them in quant section.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
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Re: Math: Triangles [#permalink]
11 Jan 2010, 21:07
KUDOS TO Gmat Club!!!!!!!!!!!!!!!!!!!! I think GMAT Club and my iphone are officially my new best friends and study buddies.
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Re: Math: Triangles [#permalink]
12 Jan 2010, 17:43
Thanks a lot really good summary
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Re: Math: Triangles [#permalink]
13 Jan 2010, 19:03
Does the orthocenter = the centroid and if so, is it safe to say that altitudes=medians?
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Re: Math: Triangles [#permalink]
14 Jan 2010, 16:34
A masterpiece Bunuel . Amazing summary of triangle proprties. Some Questions to have more clarity .
Are the medians equal in length in a scalene traingle ?
Does the centroid neccasarily have to be a center of circumcircle of a scalene triangle or in other words, does it mean that each triangle can be circumcircled ?
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Re: Math: Triangles [#permalink]
14 Jan 2010, 17:01
Quote: The SSA condition proves congruence if the angle is obtuse or right. In the case of the right angle (also known as the HL (Hypotenuse-Leg) condition or the RHS (Right-angle-Hypotenuse-Side) condition), we can calculate the third side and fall back on SSS. For Obtuse angle also, above condition is true ?
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Re: Math: Triangles [#permalink]
14 Jan 2010, 17:16
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Re: Math: Triangles [#permalink]
14 Jan 2010, 17:47
GMATMadeeasy wrote: A masterpiece Bunuel . Amazing summary of triangle proprties. Some Questions to have more clarity .
Are the medians equal in length in a scalene traingle ?
Does the centroid neccasarily have to be a center of circumcircle of a scalene triangle or in other words, does it mean that each triangle can be circumcircled ? Generally medians are not equal, so in scalene triangle medians are not equal. Centroid is not the center of the circumscribed circle. (There was a typo in the text, edited.) As for the circumscribed triangles: yes, any triangle can be circumscribed.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
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Re: Everything About Triangles For GMAT. [#permalink]
04 Feb 2010, 15:39
GMAT TIGER wrote: +1 I would give +10 for this million dollar resources if it were allowed. You wont find this much materials free of cost anywhere in the world. You are highly resourceful. That's Perfect giving..! Great resource.. which I cud realize in no time... just with in 1 hr of browsing this site... Looking forwards to get overwhelmed..
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Re: Math: Triangles [#permalink]
15 Feb 2010, 01:01
excellent post! thanks a lot Bunuel!
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Re: Math: Triangles [#permalink]
14 Mar 2010, 02:20
Bunuel, First of all thank you for the excellent compilation. I am using MGMAT books. And on this page I found many triangle concepts not covered in the book. Scary actually. I wud like to know from other knowledgeable members, what they think about MGMAT books in terms of coverage of concepts?
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Re: Math: Triangles [#permalink]
05 Jun 2010, 06:05
thanks! this is really helpful!
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Re: Math: Triangles [#permalink]
17 Jun 2010, 12:06
Quote: Usually called "half of base times height", the area of a triangle is given by the formula below.
• A=\frac{hb}{2}
Other formula:
• A=\frac{P*r}{2}
• A=\frac{abc}{4R}
Where b is the length of the base, a and c the other sides; h is the length of the corresponding altitude; R is the Radius of circumscribed circle; r is the radius of inscribed circle; P is the perimeter Just to clarify, is P the perimeter of the circle or the triangle? Quote: • For an isosceles triangle with given length of equal sides right triangle (included angle) has the largest area. Will u elaborate on this please? I'm not sure how this works. Thanks a lot of the summary, very complete and succinct! :D
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Re: Math: Triangles
[#permalink]
17 Jun 2010, 12:06
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