question find the length of the third side. if necessary, round to the nearest tenth. answer attempt 1 out…

Explanation:

Step1: Identify the theorem

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse of a right - triangle and $a,b$ are the other two sides. Here, we need to find the hypotenuse as the right - angle is shown and the two legs are 6 and 7.

Step2: Substitute values

Let $a = 6$ and $b=7$. Then $c^{2}=6^{2}+7^{2}$. $c^{2}=36 + 49$. $c^{2}=85$.

Step3: Solve for $c$

$c=\sqrt{85}\approx 9.2$.

Answer:

$9.2$