MathDB
MBOG cyclic wanted, ABC isosceles

Source: Mathematics Regional Olympiad of Mexico Northeast 2016 P2

September 12, 2022
Concyclicgeometryisosceles

Problem Statement

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 .
Back to ProblemsView on AoPS