SOLUTION: 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 ?

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 ?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and... (answered by checkley77)

the hypotenuse of a right triangle is 8feet less then three times the shorter leg and the (answered by nerdybill)

Find the length of the shorter leg of a right triangle if the longer leg is 8 feet more... (answered by ikleyn)

the longer leg of a right triangle is 2 cm less than twice the shorter leg. the... (answered by stanbon)

I need some help with these two questions please? 1. Solve by factoring and using the... (answered by jim_thompson5910)

The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and... (answered by mananth)

I need help with this question. The hypotenuse of a right triangle is 8 feet less than (answered by scott8148)

Find the length of the shorter leg of a right triangle if the longer leg is 12 feet more... (answered by solver91311,stanbon)

Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more... (answered by josgarithmetic)