Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
Donde $a=5$, $b=9$, y $c$ es el lado desconocido.

Step2: Substitute values into formula

$$c^2 = 5^2 + 9^2 = 25 + 81$$

Step3: Calculate sum and take square root

$$c = \sqrt{106} \approx 10.3$$

Answer:

10.3