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Social ScienceThe hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg. Find the side lengths of the triangle.Length of the shorter leg:ftftLength of the longer leg:Length of the hypotenuse:
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The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: ft ft Length of the longer leg: Length of the hypotenuse:
Expert Answer
The length of the hypotenuse of right triangle is 5 ft.
Let the length of longer side is x ft.
Let the length of longer side is x-1 ft.
According to the pythogus theorem.
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(hypotemuse = (longer side +(shorterside
Substitute the values.
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(5)(x +(x-1 25 x2 x2x +1 2x2 2x 24 0 x2-x-12 0 x-4x3x12 0 (x-4)(r+3) 0
Equate each facto...
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(x-4) 0 or x3) = 0
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