SOLUTION: One leg of a right triangle is 33 millimeters longer than the shorter leg and the hypotenuse is 66 millimeters longer than the shorter leg. Find the lengths of the sides of the tri

Algebra ->  Proportions  -> Lessons -> SOLUTION: One leg of a right triangle is 33 millimeters longer than the shorter leg and the hypotenuse is 66 millimeters longer than the shorter leg. Find the lengths of the sides of the tri      Log On


   

Question 1088215: One leg of a right triangle is 33 millimeters longer than the shorter leg and the hypotenuse is 66 millimeters longer than the shorter leg. Find the lengths of the sides of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the Pythagorean theorem,
S%5E2%2B%28S%2B33%29%5E2=%28S%2B66%29%5E2
S%5E2%2BS%5E2%2B66S%2B1089=S%5E2%2B132S%2B4356
S%5E2-66S-3267=0
%28S-99%29%28S%2B33%29=0
Only positive values are allowed.
S-99=0
S=99
99-132-165 triangle