SOLUTION: The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the length of the shorter leg. Find the number o

Algebra ->  Triangles -> SOLUTION: The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the length of the shorter leg. Find the number o      Log On


   

Question 450092: The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the length of the shorter leg. Find the number of feet in length of each side of the right triangle.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B%28x%2B7%29%5E2=%28x%2B9%29%5E2
x%5E2%2Bx%5E2%2B14x%2B49=x%5E2%2B18x%2B81
x%5E2-4x-32=0
%28x-8%29%28x%2B4%29=0
x=8+or+-4
Throwing out the negative answer, we get the short leg to be 8ft., the long leg to be 15ft., and the hypotenuse to be 17ft..