Question

The hypotenuse of a right triangle is 10inches long. The longer leg is 2 inches longer than the shorter led. Find the side lengths of the triangle.

Answer 1

By Pytogaros' Theorem,(however you spell it)
${a}^{2} = {b}^{2} + {c}^{2}$
Let the length of shorter leg be x.So the longer leg will be x+2
${10 }^{2} = {x}^{2} + {(x + 2)}^{2}$
so you end up with

0=2x^2+4x-96

Solve for x which gives you -8 and 6. So the shorter leg has length of 6 and longer leg has length of 8