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What is the ratio of the corresponding sides of two similar

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What is the ratio of the corresponding sides of two similar [#permalink]

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New post 17 Nov 2008, 01:03
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the ratio of the corresponding sides of two similar triangles?
(1) The ratio of the perimeters of the two triangles is 3:1.
(2) The ratio of the areas of the two triangles is 9:1.

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 01:18
two similar triangles:

(1) AB/ DE = BC / EF = CA / FD = (AB + BC + CA) / (DE + EF + FD) = perimeters ABC / perimeters DEF = 3 / 1

suff

(2) insuff

B

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 01:45
D.

(1) suff--as lyla4 explained precisely.
(2) suff-- the ratio of areas will be the ratio of squares of the corresponding sides.

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 03:11
Agree D as prasun84 explained.

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 06:04
prasun84 wrote:
(2) suff-- the ratio of areas will be the ratio of squares of the corresponding sides.


did you assume the triangles right angle triangles?
Can you please elaborate this. Thanks

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 06:09
alpha_plus_gamma wrote:
prasun84 wrote:
(2) suff-- the ratio of areas will be the ratio of squares of the corresponding sides.


did you assume the triangles right angle triangles?
Can you please elaborate this. Thanks


Area of triangle is given by 1/2*base*hieght.
Area1/Area2 = B1*H1/(B2*H2)
So side proportional to square root of the area.

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Re: Ratio Geometry [#permalink]

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New post 17 Nov 2008, 08:04
ok..if u draw a perpendicular in each of the triangles..the ratio of perpendiculars will also be the same ratio as any of the sides...so total area gets squared...

alpha_plus_gamma wrote:
prasun84 wrote:
(2) suff-- the ratio of areas will be the ratio of squares of the corresponding sides.


did you assume the triangles right angle triangles?
Can you please elaborate this. Thanks


Ok. Thanks

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Re: Ratio Geometry [#permalink]

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New post 18 Nov 2008, 18:46
OA is D, sorry late post.

d. Either statement is sufficient. The ratio of the perimeters of two similar triangles is equal to the ratio
of the corresponding sides. Also, the ratio of the areas of two similar triangles is equal to the squares of
the ratios of the corresponding sides.

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Re: Ratio Geometry   [#permalink] 18 Nov 2008, 18:46
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