If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth. (1 point) ft. Check Answer

Answer 1

Using the Pythagorean theorem, we can find the length of the missing leg.

Let's call the missing leg "x". The given leg is 6 ft and the hypotenuse is 12 ft.

According to the Pythagorean theorem, the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

(6^2) + (x^2) = (12^2)

36 + x^2 = 144

x^2 = 144 - 36

x^2 = 108

Taking the square root of both sides:

x = sqrt(108)

x ≈ 10.392

Rounding to the nearest tenth, the length of the other leg is 10.4 ft.

Therefore, the length of the other leg is approximately 10.4 ft.