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.

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) (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
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