Question

one of the legs of a right triangle measures 10 cm and the other leg measures 14 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth.

Explanation:

Step1: Recall Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse. Let \(a = 10\) cm and \(b=14\) cm.

Step2: Substitute values into the formula

\(c^{2}=10^{2}+14^{2}=100 + 196=296\).

Step3: Solve for \(c\)

\(c=\sqrt{296}\approx17.2\) cm.

Answer:

\(17.2\) cm