SOLUTION: The longer leg of a right triangle is 4ft longer than the shorter leg. The hypotenuse is 8ft longer than the shorter leg. Find the side lengths of the triangle. Length of the sh

Algebra ->  Equations -> SOLUTION: The longer leg of a right triangle is 4ft longer than the shorter leg. The hypotenuse is 8ft longer than the shorter leg. Find the side lengths of the triangle. Length of the sh      Log On


   

Question 1190319: The longer leg of a right triangle is 4ft longer than the shorter leg. The hypotenuse is 8ft longer than the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg:

Length of the longer leg:

Length of the hypotenuse:


Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, short leg
x+4, long leg
x+8, hypotenuse

x%5E2%2B%28x%2B4%29%5E2=%28x%2B8%29%5E2
.
.
.
x%5E2-8x-48=0
%28x-12%29%28x-4%29=0

12, short leg
16, long leg
20, hypotenuse