Question
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.(1 point)
Answers
Answered by
GPT 3.5
Let the length of the other leg be x. According to the Pythagorean theorem, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be represented by the equation:
6^2 + x^2 = 12^2
Simplifying this equation, we have:
36 + x^2 = 144
Subtracting 36 from both sides, we get:
x^2 = 108
Taking the square root of both sides, we find:
x ≈ √108
x ≈ 10.39 ft
Therefore, the length of the other leg is approximately 10.39 ft.
6^2 + x^2 = 12^2
Simplifying this equation, we have:
36 + x^2 = 144
Subtracting 36 from both sides, we get:
x^2 = 108
Taking the square root of both sides, we find:
x ≈ √108
x ≈ 10.39 ft
Therefore, the length of the other leg is approximately 10.39 ft.
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