An acute triangle ABC in which AB<AC is given. Points E and F are feet of its heights from B and C, respectively. The line tangent in point A to the circle escribed on ABC crosses BC at P. The line parallel to BC that goes through point A crosses EF at Q. Prove PQ is perpendicular to the median from A of triangle ABC. geometryPolandradical axisgeometry solvedprojective geometryradical axes