SOLUTION: The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the length of the shorter leg. Find the length of each leg.

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Question 166041: The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the length of the shorter leg. Find the length of each leg.
Answer by Mathtut(3670) About Me  (Show Source):
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so we will call the shorter side s and longer side is 2s+2 . Hypothenuse is 13
using the pathagorean theorem s%5E2%2B%282s%2B2%29%5E2=13%5E2 multiplied out we get 5s2+8x-165=0
factoring we get (5s+33)(s-5)=0 so s=5 and -33/5 throw out the negative value and s=5 meaning short side is 5 and longer side is 2(5)+2=12