Similar Triangles : GMAT Problem Solving (PS)
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# Similar Triangles

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02 May 2010, 15:56
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I thought this one was a doosey if you don't know the rules to triangles very well. Tell me what you think.

Two similar triangles have areas in the ratio of 9:1. What is the ratio of these triangles' perimeters?
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02 May 2010, 16:03
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vannbj wrote:
I thought this one was a doosey if you don't know the rules to triangles very well. Tell me what you think.

Two similar triangles have areas in the ratio of 9:1. What is the ratio of these triangles' perimeters?

ratio of square of sides = ratio of area = 9/1

=> ratio of sides = 3/1 , perimeter ratio= sum of sides of 1st/sum of sides of 2nd

A/a = B/b = C/c = 3/1 => ratio of perimeter = (A+B+C)/(a+b+c) = 3
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03 May 2010, 09:55
vannbj wrote:
I thought this one was a doosey if you don't know the rules to triangles very well. Tell me what you think.

Two similar triangles have areas in the ratio of 9:1. What is the ratio of these triangles' perimeters?

Ratio of the sides will be 3:1 so same is true for the perimeter.

its 3:1.
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03 May 2010, 09:57
vannbj wrote:
I thought this one was a doosey if you don't know the rules to triangles very well. Tell me what you think.

Two similar triangles have areas in the ratio of 9:1. What is the ratio of these triangles' perimeters?

3:1. Just remember the following formula:

Area of triangle A/Area of triangle B = Square of side a/Square of side b.

You can use this formula to answer questions asked on either end (sides or areas)
Re: Similar Triangles   [#permalink] 03 May 2010, 09:57
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