The length of the hypotenuse of a right triangle is 24 inches. If the length of one leg is 8 inches, what is the approximate length of the other leg? (1 point)

16.0 inches

18.4 inches

22.6 inches

25.3 inches

1 answer

Using the Pythagorean theorem, we can find the length of the other leg of the right triangle.

Let the length of the other leg be x inches.

By applying the Pythagorean theorem, we have:

x^2 + 8^2 = 24^2

x^2 + 64 = 576

x^2 = 512

Taking the square root of both sides, we get:

x ≈ √512

x ≈ 22.6 inches

Therefore, the approximate length of the other leg is 22.6 inches.