Question

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

Explanation:

Step1: Identify triangle type

It's a right - triangle, so use Pythagorean theorem: \(a^{2}+b^{2}=c^{2}\), where \(a = 3\), \(b = 4\), and \(c\) is the hypotenuse (third side).

Step2: Apply Pythagorean theorem

Substitute values: \(c=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}\)

Step3: Calculate the value

\(\sqrt{25}=5\)

Answer:

5