SOLUTION: The length of the longer leg of a right triangle is 25 inches more than seven times the length of the shorter leg. The length of the hypotenuse is 26 inches more than seven times

Algebra ->  Pythagorean-theorem -> SOLUTION: The length of the longer leg of a right triangle is 25 inches more than seven times the length of the shorter leg. The length of the hypotenuse is 26 inches more than seven times       Log On


   

Question 1007054: The length of the longer leg of a right triangle is 25 inches more than seven times the length of the shorter leg. The length of the hypotenuse is 26 inches
more than seven times the length of the shorter leg. Find the side lengths of the triangle.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
short leg = x

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

Use the quadratic formula to solve for x.