SOLUTION: The sides of a right triangle have lengths x – y, x, x + y, where x>y>0. Find the ratio of x : y.

Algebra ->  Pythagorean-theorem -> SOLUTION: The sides of a right triangle have lengths x – y, x, x + y, where x>y>0. Find the ratio of x : y.       Log On


   



Question 242965: The sides of a right triangle have lengths x – y, x, x + y, where x>y>0.
Find the ratio of x : y.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+%28x-y%29%5E2+=+%28x+%2B+y%29%5E2
x%5E2+%2B+x%5E2+-+2xy+%2B+y%5E2+=+x%5E2+%2B+2xy+%2B+y%5E2
2x%5E2+-+4xy+%2B+y%5E2+=+x%5E2+%2B+y%5E2
x%5E2+-+4xy+%2B+y%5E2+=+y%5E2
x%5E2+=+4xy
x+=+4y
x%2Fy+=+4
check nanswer:
x%5E2+%2B+%28x-y%29%5E2+=+%28x+%2B+y%29%5E2
%284y%29%5E2+%2B+%284y-y%29%5E2+=+%284y+%2B+y%29%5E2
+16y%5E2+%2B+9y%5E2+=+25y%5E2
25y%5E2+=+25y%5E2
OK