Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 7\), \(b = 8\), and \(c\) is the hypotenuse.
\(c^{2}=7^{2}+8^{2}\)

Step2: Calculate \(7^{2}\) and \(8^{2}\)

\(7^{2}=49\), \(8^{2}=64\). Then \(c^{2}=49 + 64=113\)

Step3: Find \(c\)

\(c=\sqrt{113}\approx10.6\)

Answer:

\(10.6\)