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

Answer 1

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's call the length of the other leg x. Then, using the Pythagorean theorem:

x^2 + 6^2 = 12^2
x^2 + 36 = 144
x^2 = 144 - 36
x^2 = 108

Taking the square root of both sides, we find:

x = √108

Rounding to the nearest tenth:

x ≈ √108 ≈ 10.4 feet

Therefore, the length of the other leg of the right triangle is approximately 10.4 feet.