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
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