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.

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) (Show Source): You can put this solution on YOUR website!
so we will call the shorter side s and longer side is 2s+2 . Hypothenuse is 13
using the pathagorean theorem 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
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