SOLUTION: Pythagorean theorem The longer leg of a right triangle is 3m longer than the shorter leg. The hypotenuse is 6m longer than the shorter leg. Find the side lengths of the triangle.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Pythagorean theorem The longer leg of a right triangle is 3m longer than the shorter leg. The hypotenuse is 6m longer than the shorter leg. Find the side lengths of the triangle.      Log On


   

Question 869547: Pythagorean theorem
The longer leg of a right triangle is 3m longer than the shorter leg. The hypotenuse is 6m longer than the shorter leg. Find the side lengths of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S%5E2%2B%28S-3%29%5E2=%28S%2B6%29%5E2
S%5E2%2BS%5E2-6S%2B9=S%5E2%2B12S%2B36
S%5E2-18S-27=0
%28S%5E2-18S%2B81%29-27=81
%28S-9%29%5E2=108
S-9=0+%2B-+sqrt%28108%29
S=9+%2B-+6sqrt%283%29
Only the positive result makes sense in this case.
S=9%2B6sqrt%283%29
S-3=6%2B6sqrt%283%29
S%2B6=15%2Bsqrt%283%29