Area of Triangle Calculation

In triangle ABC, the length of side AB is 8 units, and the length of side AC is 6 units. Angle A measures 60 degrees. Calculate the area of triangle ABC.

Use the formula for the area of a triangle, which is given by:

$$ ext{Area} =\frac{1}{2} imes a imes b imes ext{sin}(C) $$

where $a$ and $b$ are the lengths of two sides and $C$ is the included angle.