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 \(a = 6\), \(b = 9\), and \(c\) is the hypotenuse.

Step2: Calculate \(c^{2}\)

\(c^{2}=6^{2}+9^{2}=36 + 81=117\)

Step3: Find \(c\)

\(c=\sqrt{117}\approx10.8\)

Answer:

\(10.8\)