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# What is length of hypotenuse

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Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
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Kudos [?]: 24 [0], given: 17

What is length of hypotenuse [#permalink]  24 Jun 2006, 20:23
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What is length of hypotenuse
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VP
Joined: 25 Nov 2004
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Kudos [?]: 38 [0], given: 0

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

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

so h=16.
SVP
Joined: 01 May 2006
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Senior Manager
Joined: 16 Apr 2006
Posts: 280
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Kudos [?]: 43 [0], given: 2

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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