MathDB
2023 Fall LMT Team #9 circumcenter and centroid related

Source:

February 4, 2024
geometry

Problem Statement

In triangle ABCABC, let OO be the circumcenter and let GG be the centroid. The line perpendicular to OGOG at OO intersects BCBC at MM such that MM, GG, and AA are collinear and OM=3OM = 3. Compute the area of ABCABC, given that OG=1OG = 1.
Back to ProblemsView on AoPS