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 answer

Using the Pythagorean theorem, the length of the other leg can be found.

Let the length of the other leg be x.

By the Pythagorean theorem, we have:
x^2 + 6^2 = 12^2

Simplifying the equation:
x^2 + 36 = 144

Subtracting 36 from both sides:
x^2 = 144 - 36
x^2 = 108

Taking the square root of both sides:
x = √108 ≈ 10.4

Therefore, the length of the other leg is approximately 10.4 ft (rounded to the nearest tenth).