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What is length of hypotenuse

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What is length of hypotenuse [#permalink] New post 24 Jun 2006, 20:23
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What is length of hypotenuse
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Re: PS: Gemetry What is length of hypotenuse [#permalink] New post 24 Jun 2006, 20:55
B. 45:45:90.

8 sqrt(2) + 8 sqrt(2) + 16 = 16 + 16 sqrt(2)

so h=16.
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 [#permalink] New post 25 Jun 2006, 08:25
Nothing to add ;)
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 [#permalink] New post 25 Jun 2006, 11:19
If x is the length of equal side of triangle:

Perimeter = x + X + x*sqrt(2) = 2x + x*sqrt(2) = 16 + 16*sqrt(2)

putting x = 8*sqrt(2) solves the equation.

Therefore Hypotenuse = 8*sqrt(2)*sqrt(2) = 16.
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  [#permalink] 25 Jun 2006, 11:19
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