the perimeter of a certain isoscles right triangle is 16 + 16[radical sign]2. what is the length of the hypotenuse of the triangle?
answer is 16
please explain[/code]
geometry
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- jayhawk2001
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Sides of an isoscles right-angle triangle are in the ratio 1:1:root-2
x + x + x*root-2 = 16 + 16*root-2
Solving for x, we get 8*root-2
So, the hypotenuse is 8*root-2*root-2 = 16
x + x + x*root-2 = 16 + 16*root-2
Solving for x, we get 8*root-2
So, the hypotenuse is 8*root-2*root-2 = 16