Question

The longer leg of a right triangle is 3 more than the shorter leg. The Hypotenuse is 6 more than the shorter leg. If the perimeter of the triangle is 36, find the length of each side of the right triangle. [ Only an algebraic solution will be accepted ]

not just the answer , please

Answer 1

shorter leg --- x
longer leg ---- x+3
hypotenus ---- x+6

x+x+3+x+6 = 36
3x = 27
x = 9

short leg = 9
longer leg = 12
hypotenuse = 15

check to make sure it is right-angled:
9^2 + 12^2 = 225
15^2 = 225

all is good.