Length of Side AB in Triangle

Consider a triangle ABC where angle A measures 30 degrees, side AC measures 10 units, and side BC measures 12 units.

What is the length of side AB?

To determine the length of side AB, you can apply the Law of Cosines, which states:

$$ c^2 = a^2 + b^2 - 2ab \cos(C) $$

where $c$ is the side opposite angle C, and $a$ and $b$ are the other two sides.