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

Answer 1

Let x = the length of the longer leg. The shorter leg is x-6 and the hypotenuse is x+6. Use the Pythagorean theorem:

x² + (x-6)² = (x+6)²

Solve for x. You'll get two answers. One yields nonsense for the lengths of the two sides, so discard that answer and use the other one.