# Problem of the Week Problem D There are Two Sides

A median is a line segment drawn from the vertex of a triangle to the midpoint of the opposite side.

In $$\triangle ABC$$, a median is drawn from vertex $$A$$, meeting side $$BC$$ at point $$D$$. The length of $$BD$$ is $$6$$ cm and the length of the median $$AD$$ is $$13$$ cm.

The area of $$\triangle ABC$$ is $$72 \text{cm}^2$$. Determine the lengths of sides $$AB$$ and $$AC$$.