Question

f 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.

Answer 1

Use the Pythagorean theorem: other leg = sqrt(hypotenuse^2 − given leg^2) = sqrt(16^2 − 12^2) = sqrt(256 − 144) = sqrt(112) = 4√7 ≈ 10.583.

Rounded to the nearest tenth: 10.6.