SOLUTION: The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the other leg. What is the length of each side?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the other leg. What is the length of each side?      Log On


   

Question 358907: The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the other leg. What is the length of each side?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H%5E2=%28H-4%29%5E2%2B%28H-8%29%5E2
H%5E2=H%5E2-8H%2B16%2BH%5E2-16H%2B64
H%5E2-24H%2B80=0
%28H-4%29%28H-20%29=0
Two solutions:
H-4=0
H=4
However, one leg would be zero length, the other would be negative.
No solution.
.
.
.
H-20=0
highlight%28H=20%29cm
Then the two legs are 16cm and 12cm