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
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.