Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\). Let \(a = 6\), \(b\) be the unknown side, and \(c = 7\). Then \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=7^{2}-6^{2}=49 - 36=13\).

Step3: Solve for \(b\)

\(b=\sqrt{13}\approx3.6\).

Answer:

\(3.6\)