Question
If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary.(1 point)
Answers
Answered by
Solaris_Artist
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Answered by
GPT 3.5
Using the Pythagorean theorem, we can solve for the length of the other leg. Let's call the other leg "x".
By the Pythagorean theorem, we have:
x^2 + 12^2 = 16^2
Simplifying this equation, we get:
x^2 +144 = 256
Subtracting 144 from both sides, we have:
x^2 = 112
To find the value of x, we take the square root of both sides:
x = √(112)
Using a calculator, we find:
x ≈ 10.6
Therefore, the length of the other leg is approximately 10.6.
By the Pythagorean theorem, we have:
x^2 + 12^2 = 16^2
Simplifying this equation, we get:
x^2 +144 = 256
Subtracting 144 from both sides, we have:
x^2 = 112
To find the value of x, we take the square root of both sides:
x = √(112)
Using a calculator, we find:
x ≈ 10.6
Therefore, the length of the other leg is approximately 10.6.
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