Question 522012: A right triangle has legs of lengths x-9 and 3x and hypotenuse of length 3x+1. What is the value of x?? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! x-9 and 3x and hypotenuse of length 3x+1.
(x-9 )^2+(3x)^2=(3x+1)^2
x^2-18x+81+9x^2=9x^2+6x+1
x^2-24x+80=0
x^2-20x-4x+80=0
x(x-20)-4(x-20)=0
(x-20)(x-4)=0
x= 20 OR 4
