Triangle Side Length Comparison

Consider triangle ABC, where angle A measures 40 degrees, and angle B measures 60 degrees. The length of side a (opposite angle A) is 6 units. Using the Law of Sines, determine the length of side c (opposite angle C). Recall that the sum of angles in a triangle equals 180 degrees to find angle C first.

The Law of Sines states that: $$ \f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C} $$