Question 207494
let x=shorter leg


by Pythagoras ___ x^2 + (2x + 8)^2 = (3x - 8)^2


x^2 + 4x^2 + 32x + 64 = 9x^2 - 48x + 64


0 = 4x^2 - 80x = x^2 - 20x = x (x - 20)


x = 0 ___ not a realistic solution


x - 20 = 0 ___ x = 20


longer leg ___ 2(20) + 8 ___ 48


hypot ___ 3(20) - 8 ___ 52