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imagine a picture of an equilateral triangle with sides T

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imagine a picture of an equilateral triangle with sides T [#permalink] New post 30 Apr 2006, 21:29
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(imagine a picture of an equilateral triangle with sides T and a square with sides S)

If the two regions above have the same area, what is the ratio of T:S?

2:3

16:3

4: sq root 3

2: fourth root 3

4: third root 3
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 [#permalink] New post 01 May 2006, 12:34
well, i could have told you that :)

how did you solve it?
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 [#permalink] New post 01 May 2006, 13:15
(1) S^2 = T/2 x (X)

Where :
> X is the lenght of the projected point of the equalateral trinagle /|\

By Pytagore formula:

T^2 = (T/2)^2 + X^2 So, X = T/2 x root(3)

Replaced in (1), it gives:

S^2 = root(3)/4 x T^2

Thus, T/S = 2:fourth root(3)
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 [#permalink] New post 03 May 2006, 04:38
Answer is D


Area of an Equliateral triangle = (s^2)*(sqrt(3)/4!
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 [#permalink] New post 03 May 2006, 06:52
Agree with D :wink:
  [#permalink] 03 May 2006, 06:52
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