The length of one leg of a right triangle is 66 ft. the length of the hypotenuse is 22 feet longer than the other leg. find the length of the hypotenuse and the other leg.

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08-12-2017
Mathematics

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The length of one leg of a right triangle is 66 ft. the length of the hypotenuse is 22 feet longer than the other leg. find the length of the hypotenuse and the other leg.

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Plz show me how you got the answer thanks

shinmin shinmin · Answer 1 · 2017-12-18T15:12:05+01:00

shinmin shinmin

18-12-2017

Let the other leg be x
one leg = 66ft
length of hypotenuse x + 22
x^2 + 66 ^ 2 = (x + 22) ^ 2
x ^ 2 + 4356 =x^2 + 44 x + 484
44 x = 4356 - 484X = 4356-484/ 44X = 3872 / 44X = 88The hypotenuse = 88 + 22Hypotenuse = 110
So the sides are: 66, 88, and 110 ft.

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