Question
Asked Jul 1, 2019
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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:
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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:

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Expert Answer

Step 1

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.

(hypotemuse = (longer side +(shorterside
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(hypotemuse = (longer side +(shorterside

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Step 2

Substitute the values.

(5)(x +(x-1
25 x2 x2x +1
2x2 2x 24 0
x2-x-12 0
x-4x3x12 0
(x-4)(r+3) 0
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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

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Step 3

Equate each facto...

(x-4) 0 or x3) = 0
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(x-4) 0 or x3) = 0

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