Question 813209
hypotenuse of a right triangle is 8 ft less than three times the shorter leg, longer leg is 8 feet more than twice the shorter leg, find length of all three sides of triangle ?

shorter leg ----x

hypotenuse of a right triangle is 8 ft less than three times the shorter leg,

3x-8

longer leg is 8 feet more than twice the shorter leg,

2x+8

Pythagoras theorem

leg1^2 +leg2^2 = hypotenuse ^2

x^2+(2x+8)^2=(3x-8)^2

x^2+4x^2+32x+64=9x^2-48x+64

9x^2-5x^2-80x=0

4x^2-80x=0
4x(x-20)=0
x=0 OR x=20

shorter leg 20
hypotenuse 3*20-8=52
longer leg 2*20+8=48