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 point)

To find the length of the other leg in a right triangle, you can use the Pythagorean Theorem. The theorem states that in a right triangle, the square of the length of the hypotenuese (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Mathematically, it's written as:

c^2 = a^2 + b^2

You are given that one leg (a) is 8 inches and the hypotenuse (c) is 12 inches. To find the other leg (b), we can rearrange the Pythagorean Theorem:

c^2 - a^2 = b^2

So, let's plug in the values for a and c:

12^2 - 8^2 = b^2
144 - 64 = b^2
80 = b^2

Now, take the square root of both sides to find the length of b:

b = √80

The exact value of b is √80, but you want to round to the nearest tenth. The square root of 80 is approximately 8.944 (rounded to three decimal places). Rounding to the nearest tenth, it would be 8.9 inches.

Therefore, the length of the other leg, rounded to the nearest tenth, is approximately 8.9 inches.