SOLUTION: the length of one leg is 6ft. The length of the hypotenuse is 3ft longer than the other leg. Find the length of the hypotenuse and the other leg.

Question 515734: the length of one leg is 6ft. The length of the hypotenuse is 3ft longer than the other leg. Find the length of the hypotenuse and the other leg.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the length of one leg is 6ft. The length of the hypotenuse is 3ft longer than the other leg. Find the length of the hypotenuse and the other leg.
.
Let x = length of "other leg"
then
x+3 = length of hypotenuse
.
applying Pythagorean theorem:
x^2 + 6^2 = (x+3)^2
x^2 + 6^2 = (x+3)(x+3)
x^2 + 36 = x^2+6x+9
36 = 6x+9
27 = 6x
27/6 = x
4.5 feet = x (other leg)
.
hypotenuse:
x+3 = 4.5+3 = 7.5 feet

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