Let H be the point of intersection of the altitudes AP and CQ of the acute-angled triangle ABC. The points E and F are marked on the median BM such that ∠APE=∠BAC, ∠CQF=∠BCA, with point E lying inside the triangle APB and point F is inside the triangle CQB. Prove that the lines AE,CF, and BH intersect at one point. concurrentconcurrencyequal anglesgeometryorthocenter