Question 163544
25^2=(2x-10)^2+x^2
625=4x^2-40x+100+x^2
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105=0
5(x-15)(x+7)=0
x-15=0
x=15 fot the short leg
2*15-10=30-10=20 for the long leg
Proof:
25^2=20^2+15^2
625=400+225
625=625