The length of one leg of a certain right triangle is x + 1 feet. The length of the other leg is x + 3 feet, and the hypotenuse is x + 5 feet. Find the lengths of all sides of the triangle.

Answer 1

(x+5)^2 = (x+1)^2 + (x+3)^2

x^2 +10x +25 = x^2 +2x + 1 + x^2 +6x + 9

x^2 -2x -15=0

(x+3)(x-5)=0

x = 5

sides are 10, 6 and 8