Problem

Source: Sharygin 2007 Final 10.1

Tags: geometry, construction, altitudes, angle bisector, circumcircle



In an acute triangle $ABC$, altitudes at vertices $A$ and $B$ and bisector line at angle $C$ intersect the circumcircle again at points $A_1, B_1$ and $C_0$. Using the straightedge and compass, reconstruct the triangle by points $A_1, B_1$ and $C_0$.