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.[br][br]Try to construct this line.[br][br]Repeat the construction for △CDM and △EFM. Choose the intersection point of two lines.[br]

Information: Equiareal triangles