Question

find the length of the third side. if necessary, round to the nearest tenth.

Explanation:

Step1: Identify the formula

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) for a right - triangle, where \(c\) is the hypotenuse. Here, we need to find the hypotenuse as the third side. Let \(a = 3\) and \(b=7\).

Step2: Substitute values into the formula

\(c=\sqrt{a^{2}+b^{2}}=\sqrt{3^{2}+7^{2}}=\sqrt{9 + 49}=\sqrt{58}\).

Step3: Calculate and round

\(\sqrt{58}\approx7.6\).

Answer:

7.6