Consider triangle ABC, where side AB measures 8 units, side AC measures 6 units, and the angle at vertex A (angle A) measures 60 degrees.
Using the Law of Cosines, we want to determine the length of side BC (denoted as side a). The Law of Cosines states that:
$$ a^2 = b^2 + c^2 - 2bc imes ext{cos}(A) $$
where $b$ and $c$ are the lengths of sides AC and AB, respectively, and $A$ is the angle opposite side a.
What is the length of side BC?