Let ABC be an equilateral triangle. Let D,E,F,M,N, and P be the mid-points of BC,CA,AB,FD,FB, and DC respectively.
(a) Show that the line segments AM,EN, and FP are concurrent.
(b) Let O be the point of intersection of AM,EN, and FP. Find OM:OF:ON:OE:OP:OA. geometrygeometry unsolved