Calculate the Length of a Side Using the Law of Cosines

In Triangle ABC, the lengths of the sides are given as follows: Side AB = 8, Side AC = 6, and Angle A = 45 degrees. Calculate the length of Side BC (denoted as a) using the Law of Cosines.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the equation is given by:

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