I've been trying to figure out how CEVA's Theorem can be implemented in solving this problem, but I'm coming up short and cannot make any progress with this problem. The problem states;
A convex hexagon ABCDEF satisfies |AB| = |BC|; |CD| = |DE|; |EF| = |FA|. Prove that the lines containing the altitudes of the triangles BCD, DEF, FAB starting respectively at the vertices C, E, A intersect at a common point.
Any advice or guidance is much appreciated!