Consider an acute triangle ABC with circumcircle C. Let H be the orthocenter of ABC and M the midpoint of BC. Lines AH, BH and CH cut C again at points D, E, and F respectively; line MH cuts C at J such that H lies between J and M. Let K and L be the incenters of triangles DEJ and DFJ respectively. Prove KL is parallel to BC. geometryincentercircumcirclegeometry unsolved