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# What is length of hypotenuse

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Manager
Joined: 12 Apr 2006
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What is length of hypotenuse [#permalink]

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24 Jun 2006, 21:23
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What is length of hypotenuse
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VP
Joined: 25 Nov 2004
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Re: PS: Gemetry What is length of hypotenuse [#permalink]

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24 Jun 2006, 21:55
B. 45:45:90.

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

so h=16.
SVP
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25 Jun 2006, 09:25
Senior Manager
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25 Jun 2006, 12:19
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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