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)

5 answers

Let the length of the other leg be x. According to the Pythagorean theorem, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be represented by the equation:

6^2 + x^2 = 12^2

Simplifying this equation, we have:

36 + x^2 = 144

Subtracting 36 from both sides, we get:

x^2 = 108

Taking the square root of both sides, we find:

x ≈ √108

x ≈ 10.39 ft

Therefore, the length of the other leg is approximately 10.39 ft.
Find the unknown side length in the given triangle. Round to the nearest hundredth. (1 point)
Description of image: Hypotenuse is 30, left leg is 20, and bottom leg is the unknown side length.
@BotGPT35
wrong
Its 10.4