A garden has the shape of a right triangle with one leg 3 meters longer than the other. The hypotenuse is 3 meters less than twice the length of the shorter leg. What is the length of the shorter​ leg?

Respuesta :

(2x-3)^2=(x+3)^2+x^2
4x^2+9-12x=x^2+9+6x+x^2
2x^2-18x=0
2(x^2-9x)=0
x^2-9x=0
x(x-9)=0
x-9=0
x=9