Answer
36 ft, 48 ft, 60 ft
Work Step by Step
longer leg = 12 + short leg
hypotenuse = 2*short leg-12
$(12+x)^2+x^2=(2x-12)^2$
$x^2+24x+144+x^2=4x^2-48x+144$
$2x^2+24x+144=4x^2-48x+144$
$72x=2x^2$
$2x^2-72x=0$
$2x(x-36)=0$
$2x=0$
$x=0$
$x-36=0$
$36=x$
$12+x$
$12+36=48$
$2x-12$
$2*36-12$
$72-12$
$60$
