Question

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

Explanation:

Step1: Identify the triangle type

It's a right - triangle.

Step2: Apply Pythagorean theorem

Let the two legs be $a = 3$ and $b = 5$. The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$ for the hypotenuse $c$. Here, we need to find the hypotenuse. So $c=\sqrt{3^{2}+5^{2}}=\sqrt{9 + 25}=\sqrt{34}$.

Step3: Calculate the value

$\sqrt{34}\approx5.8$

Answer:

$5.8$