SOLUTION: The longest side of a right triangle is 6cm less than twice the length of the medium side.The shortest side is 6cm.Find the length of the two other sides.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The longest side of a right triangle is 6cm less than twice the length of the medium side.The shortest side is 6cm.Find the length of the two other sides.      Log On


   

Question 831161: The longest side of a right triangle is 6cm less than twice the length of the medium side.The shortest side is 6cm.Find the length of the two other sides.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
1.L%5E2=M%5E2%2BS%5E2
2.L=2M-6
3. S=6
Substituting,
%282M-6%29%5E2=M%5E2%2B6%5E2
4M%5E2-24M%2B36=M%5E2%2B36
3M%5E2-24M=0
3M%28M-8%29=0
Two solutions:
M=0, not a valid solution in this case.
M-8=0
highlight%28M=8%29 then
L=2%288%29-6
highlight%28L=10%29