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?
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
