SOLUTION: The sides of a right triangle are x, x+31, and x+32 units long. Find the side lengths of the lengths of the triangle by solving for x

Algebra ->  Pythagorean-theorem -> SOLUTION: The sides of a right triangle are x, x+31, and x+32 units long. Find the side lengths of the lengths of the triangle by solving for x      Log On


   

Question 1021211: The sides of a right triangle are x, x+31, and x+32 units long. Find the side lengths of the lengths of the triangle by solving for x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the Pythagorean theorem,
x%5E2%2B%28x%2B31%29%5E2=%28x%2B32%29%5E2
x%5E2%2Bx%5E2%2B62x%2B961=x%5E2%2B64x%2B1024
2x%5E2%2B62x%2B961=x%5E2%2B64x%2B1024
x%5E2-2x-63=9
%28x-9%29%28x%2B7%29=0
Only positive x solutions are allowed.
x-9=0
x=9