Triangle Side Length Calculation Using Law of Cosines

In triangle ABC, the lengths of sides AB, AC, and angle A are given as follows:

AB = 7 units, AC = 12 units, and angle A = 30 degrees.

What is the length of side BC?

To find the length of side BC, apply the Law of Cosines, which states:

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

where:

- $c$ is the side opposite angle $C$ (in this case, side $BC$),

- $a$ is the length of side $AC$,

- $b$ is the length of side $AB$, and

- $C$ is angle A.