MathDB

8.1

Part of 2021 Sharygin Geometry Olympiad

Problems(1)

computational in ABCD, circumcenter of triangle is incenter of another

Source: 2021 Sharygin Finals grade VIII p1

8/1/2021
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.
geometrycircumcircleincenter