Measurements of a right triangle

Question

One leg of a right triangle is four inches longer than the other. The hypotenuse is 20 inches. What are the measurements of the triangle?

Answer 1

x^2 + (x+4)^2 = 20^2

x^2 + x^2 +8x + 16 = 400

2x^2 + 8x - 384 = 0

x^2 + 4x - 192 = 0

( x + 16)( x - 12 ) = 0

x+16=0 results in negative measures

x-12 = 0 ---> x = 12

12, 16, 20