The sum of the length of the two legs of a right triangle is 14 inches. If the length of the hypotenuse is 10 inches find the length of each leg.

Answer 1

10^2 = x^2 + (14-x)^2

x = one leg's length

14-x = the other leg's length

100 = 196 -28x +x^2 +x^2 = 196 -28x +2x^2

x^2 -14x +48 = 0

(x-6)(x-8) = 0

legs are 6 and 8 inches