The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is 3 more than the shorter leg. What is the measure of the shorter leg of the right triangle?

Answer 1

If the shorter leg is x, then
x^2 + (x+3)^2 = (x+6)^2
You can do the math, or think of the familiar 3-4-5 right triangle, enlarged to 9-12-15