SOLUTION: The hypotenuse of a right triangle is 10cm. One of the legs is two cm than the other leg. find the lengths of the two legs.

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a right triangle is 10cm. One of the legs is two cm than the other leg. find the lengths of the two legs.      Log On


   



Question 853181: The hypotenuse of a right triangle is 10cm. One of the legs is two cm than the other leg. find the lengths of the two legs.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
6 and 8
double of the 3,4,5 right triangle
a^2+(a+2)^2=100
a^2+a^2+4a+4=100
2a^2+4a+4=100
a^2+2a+2=50
a^2+2a-48=0
(a-6)*(a+8)=0
a=6
a=-8 reject
6,8, 10