A triangle has two equal sides of length $5$ cm and an included angle of $60^{ ext{o}}$. Calculate the area of the triangle.
Use the formula for the area of a triangle given by:
Area = $\f\frac{1}{2} a b \sin(C)$,
where $a$ and $b$ are the lengths of the sides, and $C$ is the included angle between those sides. Consider your answer carefully based on the options provided.