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

Algebra ->  Pythagorean-theorem -> SOLUTION: The longer leg of a right triangle is 4m longer than the shorter leg. The hypotenuse is 8m longer than the shorter leg. Find the side lengths of the triangle.      Log On


   

Question 879362: The longer leg of a right triangle is 4m longer than the shorter leg. The hypotenuse is 8m longer than the shorter leg. Find the side lengths of the triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the shorter leg.
The other two sides are of lengths x+4, and x+8.

Pythagorean Theorem: highlight%28x%5E2%2B%28x%2B4%29%5E2=%28x%2B8%29%5E2%29.
Most of the work from here is just solve for x.