2 circumcircles concurrent with angle bisector
Source: 2014 Oral Moscow Geometry Olympiad grades 8-9 p4
August 9, 2019
geometryperpendicular bisectorcircumcircleconcurrencyconcurrentangle bisector
Problem Statement
In triangle , the perpendicular bisectors of sides and intersect side at points and , respectively, with point lying on the segment . Prove that the circumscribed circles of the triangles and intersect on the bisector of the angle .