SOLUTION: The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is only one more than the shortest leg. Find the length of the hypotenuse of the triangle.

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is only one more than the shortest leg. Find the length of the hypotenuse of the triangle.       Log On


   

Question 615869: The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is only one more than the shortest leg. Find the length of the hypotenuse of the triangle.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(h - 9)^2 + (h - 8)^2 = h^2

h^2 - 18h + 81 + h^2 - 16h + 64 = h^2

h^2 - 34h + 145 = 0

factoring ___ (h - 5)(h - 29) = 0