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

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


   

Question 915198: The longer leg of a right triangle is
3cm
longer than the shorter leg. The hypotenuse is
6cm
longer than the shorter leg. Find the side lengths of the triangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
short leg be x
The longer leg of a right triangle is
3cm longer than the shorter leg. (x+3)

The hypotenuse is 6cm longer than the shorter leg. (x+6)

x^2+(x+3)^2= (x+6)^2
x^2+x^2+6x+9 = x^2+12x+36
x^2-6x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x-9)(x+3)=0
x=9
9,12, 15 cm are the lengths