Question 78023
X=SHORTER LEG
X+10=LONGER LEG
2X-10=HYPOTENUSE
X^2+(X+10)^2=(2X-10)^2
X^2+X^2+20X+100=4X^2-40X+100
2X^2-4X^2+60X=0
-2X^2+60X=0
2X^2-60x=0
x(2x-60)=0
x=0
2x-60=0
2x=60 
x=60/2
x=30 answer.
proof
30^2+(30+10)^2=(2*30-10)^2
900+1600=(50)^2
2500=2500