Let be the circumcenter of an acute triangle . Line intersects the altitudes of through and at and , respectively. The altitudes meet at . Prove that the circumcenter of triangle lies on a median of triangle .
Let $O$ be the circumcenter of an acute triangle $ABC$. Line $OA$ intersects the altitudes of $ABC$ through $B$ and $C$ at $P$ and $Q$, respectively. The altitudes meet at $H$. Prove that the circumcenter of triangle $PQH$ lies on a median of triangle $ABC$.
Upozorenje: Ovaj zadatak još niste riješili! Kliknite ovdje kako biste prikazali rješenje.
Ukratko to je samo humpty tocka(bar mi se tako cini).
Ukratko to je samo humpty tocka(bar mi se tako cini).
Školjka 
be the circumcenter of an acute triangle 
. Line 
intersects the altitudes of 
and 
at 
and 
, respectively. The altitudes meet at 
. Prove that the circumcenter of triangle 
lies on a median of triangle