MathDB
computational in ABCD, circumcenter of triangle is incenter of another

Source: 2021 Sharygin Finals grade VIII p1

August 1, 2021
geometrycircumcircleincenter

Problem Statement

Let ABCDABCD be a convex quadrilateral. The circumcenter and the incenter of triangle ABCABC coincide with the incenter and the circumcenter of triangle ADCADC respectively. It is known that AB=1AB = 1. Find the remaining sidelengths and the angles of ABCDABCD.
Back to ProblemsView on AoPS