The shorter leg of a right triangle is

6 inches shorter than the longer leg. The hypotenuse is 6 inches longer than the longer leg. Find the side lengths of the triangle.

1 answer

(x-6)^2 + x^2 = (x+6)^2

or, consider that a 3-4-5 triangle has sides which differ by 1. You have a triangle whose sides differ by 6.