MathDB
JBMO TST Bosnia and Herzegovina Problem 2

Source:

July 7, 2019
geometry

Problem Statement

2.2. Let ABCABC be a triangle and ADAD the angle bisector (DāˆˆBCD\in BC). The perpendicular from BB to ADAD cuts the circumcircle of triangle ABDABD at EE. If OO is the center of the circle around ABCABC , prove A,O,EA,O,E are collinear.

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