MathDB
triangle construction, circumcircle, incircle (Kyiv City Olympiad 2007 9.3)

Source:

June 29, 2020
geometrycircumcircleincircleconstruction

Problem Statement

On a straight line 44 points are successively set , A,P,Q,WA, P, Q,W , which are the points of intersection of the bisector ALAL of the triangle ABCABC with the circumscribed and inscribed circle. Knowing only these points, construct a triangle ABCABC .