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2

Part of 2016 Regional Olympiad of Mexico Northeast

Problems(1)

MBOG cyclic wanted, ABC isosceles

Source: Mathematics Regional Olympiad of Mexico Northeast 2016 P2

9/12/2022
Let ABCABC be a triangle with AB=ACAB = AC with centroid GG. Let MM and NN be the midpoints of ABAB and ACAC respectively and OO be the circumcenter of triangle BCNBCN . Prove that MBOGMBOG is a cyclic quadrilateral .
Concyclicgeometryisosceles