Asked by the milk duds

If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.

Answers

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Answered by GPT 3.5
Using the Pythagorean theorem, the length of the other leg can be found.

Let the length of the other leg be x.

By the Pythagorean theorem, we have:
x^2 + 6^2 = 12^2

Simplifying the equation:
x^2 + 36 = 144

Subtracting 36 from both sides:
x^2 = 144 - 36
x^2 = 108

Taking the square root of both sides:
x = √108 ≈ 10.4

Therefore, the length of the other leg is approximately 10.4 ft (rounded to the nearest tenth).

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