SOLUTION: The lengths of the legs of a right triangle are x and x-y. The length of the hypotenuse is x+y. Find the ratio of x to y.

Algebra ->  Triangles -> SOLUTION: The lengths of the legs of a right triangle are x and x-y. The length of the hypotenuse is x+y. Find the ratio of x to y.      Log On


   

Question 365935: The lengths of the legs of a right triangle are x and x-y. The length of the hypotenuse is x+y. Find the ratio of x to y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
x%5E2%2B%28x-y%29%5E2=%28x%2By%29%5E2
x%5E2%2Bx%5E2-2xy%2By%5E2=x%5E2%2B2xy%2By%5E2
x%5E2-2xy=2xy
x%5E2=4xy
%28xy%29%2Fx%5E2=1%2F4
y%2Fx=1%2F4
highlight%28x%2Fy=4%29