Finding Length of Side in Triangle via Law of Cosines

In triangle ABC, the lengths of sides AB, AC, and the included angle A are given as follows: side AB = 8 units, side AC = 6 units, and angle A = 120 degrees. Determine the length of side BC using the Law of Cosines.

Recall that the Law of Cosines states that for any triangle with sides $a$, $b$, and $c$, where $C$ is the angle opposite side $c$, the relation is given by $$c^2 = a^2 + b^2 - 2ab imes ext{cos}(C).$$