Calculate Length of Side Using Law of Cosines

Consider a triangle, $ riangle ABC$, where the lengths of the sides are given as follows: side $a$ (opposite vertex A) is 12 units, side $b$ (opposite vertex B) is 16 units, and angle $C$ measures 60 degrees.

Using the Law of Cosines, calculate the length of side $c$ (opposite vertex C). Input your answer in the grid below.

The Law of Cosines states that for any triangle, the following relationship holds:

$$ c^2 = a^2 + b^2 - 2ab imes ext{cos}(C) $$

Make sure to round your final answer to two decimal places, if necessary.