Triangle ABC is such that AB<AC. The perpendicular bisector of side BC intersects lines AB and AC at points P and Q, respectively. Let H be the orthocentre of triangle ABC, and let M and N be the midpoints of segments BC and PQ, respectively. Prove that lines HM and AN meet on the circumcircle of ABC. geometryJBMOperpendicular bisectorcircumcirclegeometry solvedBalkanJunior Balkan