Calculate Side Length in Triangle

Consider triangle ABC, where angle A measures $60^{ ext{°}}$, side a (opposite angle A) measures 8 units, and side b (opposite angle B) measures 10 units. Calculate the length of side c (opposite angle C) using the Law of Cosines, which states:

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

Additionally, to find the measure of angle C, you can use the formula:

$$C = 180^{ ext{°}} - A - B$$

What is the length of side c?