Question 501736
let one side be x
other side = x-7

x^2+(x-7)^2=17^2

x^2+x^2-14x+49=289
2x^2-14x+49-289=0
2x^2-14x-240=0
/2
x^2-7x-120=0
x^2-15x+7x-120=0
x(x-15)+7(x-15)=0
(x-15)(x+7)=0
x= 15 which is positive

other leg = 15-7 =8

Area = 1/2 * 8*15
Area = 60 sq. units