Assume that triangle ABC does not have a right angle at A and that sides AB and AC have different lengths. Let O and H be the circumcenter and orthocenter of triangle ABC. Let M be the midpoint of B and C, and let N be the midpoint of A and H. Prove that NOMH and AOMN are parallelograms, and illustrate this result with a figure.
I did try drawing the figure yes, but I'm having difficulty getting started with this. Anyone have any ideas?