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# If two figures, an equilateral triangle (side t) an a square

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Senior Manager
Joined: 07 Feb 2008
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If two figures, an equilateral triangle (side t) an a square [#permalink]  15 Jun 2008, 11:41
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If two figures, an equilateral triangle (side t) an a square (side s) have the same area, what is the ratio t:s?
Director
Joined: 14 Oct 2007
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Location: Oxford
Schools: Oxford'10
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Re: For all Square lovers [#permalink]  15 Jun 2008, 12:00
1
KUDOS
Vavali wrote:
If two figures, an equilateral triangle (side t) an a square (side s) have the same area, what is the ratio t:s?

area of trig = 0.5 * b * h

where $$b = t$$and $$h = \frac{\sqrt{3}t}{2}$$

therefore area of the trig = $$\frac{\sqrt{3}t^2}{4}= s^2$$

therefore $$\frac{t}{s}= \frac{2}{{3}^{\frac{1}{4}}$$
Senior Manager
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Re: For all Square lovers [#permalink]  15 Jun 2008, 12:05
Kudos to you my friend + 1. Thanks
Re: For all Square lovers   [#permalink] 15 Jun 2008, 12:05
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