If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the

Question

If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary.

GPT-5 mini · Answer

Let the other leg be x. By the Pythagorean theorem,

x^2 + 12^2 = 16^2
x^2 = 256 − 144 = 112
x = √112 = 4√7 ≈ 10.583...

Rounded to the nearest tenth: 10.6.

If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary.