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 \(a = 2\), \(b = 3\), \(c\) is the hypotenuse.

Step2: Apply formula

Substitute values: \(c=\sqrt{2^{2}+3^{2}}=\sqrt{4 + 9}=\sqrt{13}\approx3.6\) (rounded to nearest tenth).

Answer:

The length of the third side is approximately \(3.6\).