Question 458156
96^2+x^2=(5x/2+4)^2
9216+x^2=25x^2/4+20x+16
36864+4x2=25x2+80x+64
21x2+80x-36800=0
(21x+920)(x-40)=0
x=-920/21 or 40
Throwing out the negative answer, we get x=40, 5x/2+4=104, so the legs of the triangle are 40, 96, and 104 inches..