Question

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

Explanation:

Step1: Apply the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 5\), \(b=9\), and \(c\) is the hypotenuse.

Step2: Substitute the values into the formula

\(c=\sqrt{5^{2}+9^{2}}=\sqrt{25 + 81}=\sqrt{106}\)

Step3: Calculate the square root

\(\sqrt{106}\approx10.3\)

Answer:

\(10.3\)