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# What is the ratio of the corresponding sides of two similar

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Manager
Joined: 16 Oct 2008
Posts: 54
What is the ratio of the corresponding sides of two similar [#permalink]

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17 Nov 2008, 02:03
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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Manager
Joined: 30 Sep 2008
Posts: 111

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17 Nov 2008, 02:18
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
Manager
Joined: 08 Aug 2008
Posts: 226

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17 Nov 2008, 02:45
D.

(1) suff--as lyla4 explained precisely.
(2) suff-- the ratio of areas will be the ratio of squares of the corresponding sides.
VP
Joined: 17 Jun 2008
Posts: 1477

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17 Nov 2008, 04:11
Agree D as prasun84 explained.
Director
Joined: 14 Aug 2007
Posts: 695

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17 Nov 2008, 07:04
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
Intern
Joined: 30 Oct 2008
Posts: 30

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17 Nov 2008, 07:09
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.
Manager
Joined: 08 Aug 2008
Posts: 226

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17 Nov 2008, 09:04
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
Manager
Joined: 16 Oct 2008
Posts: 54

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18 Nov 2008, 19:46
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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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Ratio Geometry   [#permalink] 18 Nov 2008, 19:46
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# What is the ratio of the corresponding sides of two similar

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