MathDB
2023 Fall LMT Speed p25 - circumcircle and centroid related

Source:

March 2, 2024
geometry

Problem Statement

In triangle ABCABC with centroid GG and circumcircle ω\omega, line AG‾\overline{AG} intersects BCBC at DD and ω\omega at PP. Given that GD=DP=3GD =DP = 3, and GC=4GC = 4, find AB2AB^2.
Proposed by Muztaba Syed
Back to ProblemsView on AoPS