SOLUTION: One leg of a right triangle is 17 meters longer than the other leg. If the length of the hypotenuse is 25 meters, find the length of each leg.

Algebra ->  Pythagorean-theorem -> SOLUTION: One leg of a right triangle is 17 meters longer than the other leg. If the length of the hypotenuse is 25 meters, find the length of each leg.       Log On


   

Question 450331: One leg of a right triangle is 17 meters longer than the other leg. If the length of the hypotenuse is 25 meters, find the length of each leg.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x2+(x+17)2=25x25
x2+x2+34x+289=625
2x2+34x-336=0
x2+17x-168=0
(x+24)(x-7)=0
x=-24 or 7
The length of the legs are 24m. and 7m..