SOLUTION: Problem solving question: The hypotenuse of a right angle triangle is 13cm. One side is 7cm longer than the third slide. What are the dimensions of the triangle?

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Question 1081330: Problem solving question:
The hypotenuse of a right angle triangle is 13cm. One side is 7cm longer than the third slide. What are the dimensions of the triangle?
Found 2 solutions by rfer, josgarithmetic:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
5 & 12
5^2+12^2=169
sqrt 169=13
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I used guess and check.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h=13,x+7,x

x%5E2%2B%28x%2B7%29%5E2=13%5E2
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x%5E2%2Bx%5E2%2B14x%2B49=169
2x%5E2%2B14x-120=0
x%5E2%2B7x-60=0
%28x-5%29%28x%2B12%29=0


The acceptable solution is highlight%28x=5%29.
The other leg was described as x+7, so this becomes 5%2B7=highlight%2812%29.