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# Math: Triangles

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Senior Manager
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24 Nov 2009, 06:29
Bunuel

might I suggest you to create another post with subject: "All you want to know about Quantitative" and provide links to your various posts in it? That way we all can bookmark just one page and still can have all the information from you? Also in this way if you add any new post, we will not miss it.

You might also want to create a master thread containing links to all your posts of different sets of problems. That weay we can have a central repository to different types of problems eg. Inequality, Combinatorics, etc.
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24 Nov 2009, 09:06
This will help a lot .. another thanks ..
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24 Nov 2009, 10:29
I wish somebody made a pdf compilation of Bunuel's posts...
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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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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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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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24 Nov 2009, 23:58
Thank you so much.
This is massive
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08 Dec 2009, 16:33
Thank you for the awesome post..
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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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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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12 Jan 2010, 17:43
Thanks a lot really good summary
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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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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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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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14 Jan 2010, 17:16
gottabwise wrote:
Does the orthocenter = the centroid and if so, is it safe to say that altitudes=medians?

Generally orthocenter and centroid are not the same point. Generally altitude does not equal to median.
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14 Jan 2010, 17:47
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.
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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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- Thank you
Mans!

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15 Feb 2010, 01:01
excellent post! thanks a lot Bunuel!
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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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05 Jun 2010, 06:05
Re: Math: Triangles   [#permalink] 05 Jun 2010, 06:05

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