The hypotenuse of a right triangle is 1 cm more than twice the shorter leg, and the longer leg is 9 cm less than three times the shorter leg. Find the lengths of the three sides of the triangle..

Answer 1

if the short leg is x,

x^2 + (3x-9)^2 = (2x+1)^2
x = 5/3 or 8

check:
x=5/3, no good; 3x-9 < 0
x=8: triangle is 8-15-17
a well-known Pythagorean triple