Question

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

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ is hypotenuse, $a,b$ are legs. Here, $c=7$, $a=3$, find $b$.

Step2: Rearrange formula for unknown side

$b = \sqrt{c^2 - a^2}$

Step3: Substitute values and calculate

$b = \sqrt{7^2 - 3^2} = \sqrt{49 - 9} = \sqrt{40} \approx 6.3$

Answer:

6.3