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)

2 answers

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.
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