MathDB
computational , OG // BC, <ACB=45^o, centroid, circumcenter

Source: December 2020 Ukraine Geometry Olympiad IX p5, X p4

December 20, 2020
geometryparallelCentroidCircumcentercircumcircle

Problem Statement

Let ABCABC be an acute triangle with ∠ACB=45o\angle ACB = 45^o, GG is the point of intersection of the medians, and OO is the center of the circumscribed circle. If OG=1OG =1 and OG∥BCOG \parallel BC, find the length of BCBC.
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