Let $X$ be the centroid of $\Delta ABC$, and $AX=5$, $BX=12$, $CX=13$. Find the area of $\Delta ABC$.
Some properties of the centroid that I know:
- The centroid divides the medians of a triangle in a $2:1$ ratio.
- The resulting six triangles formed after drawing the three medians of a triangle have equal area.
I don't know how to approach or solve this problem.