Question

one of the legs of a right triangle measures 12 cm and the other leg measures 7 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth.

Explanation:

Step1: Recall Pythagorean theorem

Let \(a = 12\) cm, \(b=7\) cm. The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse.

Step2: Substitute values

\(c^{2}=12^{2}+7^{2}=144 + 49=193\).

Step3: Solve for \(c\)

\(c=\sqrt{193}\approx13.9\) cm.

Answer:

\(13.9\) cm