Equiareal triangles
Construct point M inside the hexagon such that △ABM, △CDM, and △EFM have equal areas
Hint
Construct the intersection point of (AB) and (FE); let it be X. Note that △ABM and △EFM have equal areas for all points on a certain line thru X.
Try to construct this line.
Repeat the construction for △CDM and △EFM. Choose the intersection point of two lines.