math
posted by nikki on .
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..

if the short leg is x,
x^2 + (3x9)^2 = (2x+1)^2
x = 5/3 or 8
check:
x=5/3, no good; 3x9 < 0
x=8: triangle is 81517
a wellknown Pythagorean triple