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# If the ratio of the heights of two equilateral triangles is 3/2

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Math Expert
Joined: 02 Sep 2009
Posts: 55662
If the ratio of the heights of two equilateral triangles is 3/2  [#permalink]

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12 Sep 2018, 00:52
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Difficulty:

35% (medium)

Question Stats:

68% (01:31) correct 32% (01:19) wrong based on 32 sessions

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If the ratio of the heights of two equilateral triangles is 3/2, what is the ratio of the area of the larger triangle to the smaller triangle?

A. 9/4

B. 3/2

C. $$\frac{3\sqrt{3}}{2}$$

D. $$\frac{\sqrt{3}}{2}$$

E. $$\frac{\sqrt{3}}{4}$$

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Re: If the ratio of the heights of two equilateral triangles is 3/2  [#permalink]

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12 Sep 2018, 02:02
Bunuel wrote:
If the ratio of the heights of two equilateral triangles is 3/2, what is the ratio of the area of the larger triangle to the smaller triangle?

A. 9/4

B. 3/2

C. $$\frac{3\sqrt{3}}{2}$$

D. $$\frac{\sqrt{3}}{2}$$

E. $$\frac{\sqrt{3}}{4}$$

Given, h1:h2=3:2
or, a1:a2=3:2

Irrespective of the magnitude of the scale factor(which is always a positive integer), h1>h2.

So, A1:A2=$$\frac{(a1)^2}{(a2)^2}$$=$$(\frac{3}{2})^2=\frac{9}{4}$$

Ans. (A)
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Re: If the ratio of the heights of two equilateral triangles is 3/2   [#permalink] 12 Sep 2018, 02:02
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