Let O be the circumcenter and H be the orthocenter of an acute-angled triangle ABC. Point T is the midpoint of the segment AO. The perpendicular bisector of AO intersects the line BC at point S.
Prove that the circumcircle of the triangle AST bisects the segment OH.(M. Berindeanu, RMC 2018 book) geometrycircumcircleperpendicular bisectorBelarusgeometry solvedNine point centerEuler Line