Costruct symedian using only ruler
Source: Oral Moscow Geometry Olympiad 2024, 8-9.5
September 3, 2024
geometrycircumcircleincenter
Problem Statement
An acute-angled unequal triangle is drawn with its circumcircle and circumcenter . The incenter is also marked. Using only a ruler (without divisions), construct the symedian (a line symmetrical to the median relative to the corresponding bisector) of the triangle, drawing no more than four lines.