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Question
If a right triangle has a leg that measures 8 inches and the hypotenuse is 12 inches, how long is the other leg? Round to the nearest tenth, if necessary.(1 p

1 answer

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's assume that the length of the other leg is x. We can set up the equation:

8^2 + x^2 = 12^2

Simplifying this equation, we get:

64 + x^2 = 144

Subtracting 64 from both sides, we have:

x^2 = 80

Taking the square root of both sides, we find:

x = √80

Using a calculator, we can find:

x ≈ 8.94

Therefore, the length of the other leg is approximately 8.9 inches.