Question

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

Explanation:

Step1: Identify the sides for Pythagorean theorem

Let the two given sides be $a = 6$ and $b = 7$. Assume the hypotenuse is $c$. According to the Pythagorean theorem $c^{2}=a^{2}+b^{2}$.

Step2: Calculate the length of the third - side

$c=\sqrt{6^{2}+7^{2}}=\sqrt{36 + 49}=\sqrt{85}\approx9.2$

Answer:

$9.2$