Given an acute triangle ABC with circumcenter O and orthocenter H. Let K be a point inside ABC which is not O nor H. Point L and M are located outside the triangle ABC such that AKCL and AKBM are parallelogram. At last, let BL and CM intersects at N, and let J be the midpoint of HK. Show that KONJ is also a parallelogram.Raja Oktovin, Pekanbaru geometrycircumcircleratiogeometry unsolved