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# PICTURE THIS Two figures: One Triangle with all 3 sides 't'.

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Manager
Joined: 17 Aug 2006
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PICTURE THIS Two figures: One Triangle with all 3 sides 't'. [#permalink]  13 Nov 2008, 04:35
PICTURE THIS

Two figures:

One Triangle with all 3 sides 't'.
Two Square with all 4 sides 's'.

If the two regions above have the same area, what is the ration t:s

2:3

16:3

4:sqr3

2:4th root of 3

4: 4th rooth of 3
SVP
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Re: PREP 12 of 37 [#permalink]  13 Nov 2008, 04:56
Reading question stem "two square" as one square, D should be the anser.
Manager
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Re: PREP 12 of 37 [#permalink]  13 Nov 2008, 11:43
root 3 t^2/4 = s^2
t^2/s^2=4/root 3
t/s= 2/4th root3
Agreed D
Manager
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Re: PREP 12 of 37 [#permalink]  13 Nov 2008, 12:06
D is the answer, I'm just not sure how you got root 3 t^2/4 = s^2. Can you explain?
Manager
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Re: PREP 12 of 37 [#permalink]  14 Nov 2008, 13:17
The area of an equilateral triangle with side "a" is given by the formula root3/4 a^2

and the area of a square is s^2

equating the two expressions we will get the answer
Re: PREP 12 of 37   [#permalink] 14 Nov 2008, 13:17
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