One of the legs of a right triangle measures 4 cm and its hypotenuse measures 16 cm . Find the measure of the other leg. If necessary, round to the nearest tenth.

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs. Here, we know that one leg \(a = 4\) cm and the hypotenuse \(c = 16\) cm. Plugging in the values: \[ 4^2 + b^2 = 16^2 \] \[ 16 + b^2 = 256 \] Subtract 16 from both sides: \[ b^2 = 256 - 16 \] \[ b^2 = 240 \] Now take the square root of both sides: \[ b = √240 \] This simplifies to \(b ≈ 15.5\) cm when rounded to the nearest tenth. So, the measure of the other leg is approximately 15.5 cm!