Question

a garden has the shape of a right triangle with one leg 6 meters longer than the other. the hypotenuse is 6 meters less than twice the length of the shorter leg. what is the length of the shorter​ leg?

Answer 1

Leg one: x (shorter side)
Leg two: x+6
Hypotenuse: 2x-6
Use a^2+b^2=c^2
x^2+(x+6)^2=(2x-6)^2
x^2+x^2+12x+36=4x^2-24x+36
2x^2+12x=4x^2-24x
36x=2x^2
36 = 2x
x = 18