Please help i can't figure this problem out

Question

The length of the longer leg of a right triangle is 25ft

more than seven times the length of the shorter leg. The length of the hypotenuse is 26ft

more than seven times the length of the shorter leg. Find the side lengths of the triangle

Answer 1

shorter leg is x

longer leg is 7x + 25

hypotenuse is 7x + 26

x^2 + (7x + 25)^2 = (7x + 26)^2

x^2 + (49x^2 + 350x + 625) = 49x^2 + 364x + 676

x^2 - 14x - 51 = 0

( x - 17 )(x + 3 ) = 0

x+3=0 results in negative measures

x=17

shorter leg is 17

longer leg is 7(17) + 25 = 119 + 25 = 144

hypotenuse is 7(17) + 26 = 145

yes, the pythagorean theorem verifies these answers