SOLUTION: a right triangle has sides lengths that are 3 consecutive even integers what are the integers?

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Question 1108283: a right triangle has sides lengths that are 3 consecutive even integers what are the integers?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Side lengths, x-2, x, x+2

%28x-2%29%5E2%2Bx%5E2=%28x%2B2%29%5E2
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x%5E2-4x%2B4%2Bx%5E2=x%5E2%2B4x%2B4
-4x%2B4%2Bx%5E2=4x%2B4
-4x%2Bx%5E2=4x
x%5E2=8x
x%5E2-8x=0
x%28x-8%29=0
highlight%28x=8%29-----------the middle length side, long leg
-
short leg is highlight%286%29
and hypotenuse is highlight%2810%29.