MathDB
2023 geometry #9

Source:

February 28, 2024
geometry

Problem Statement

Point YY lies on line segment XZXZ such that XY=5XY = 5 and YZ=3Y Z = 3. Point GG lies on line XZXZ such that there exists a triangle ABCABC with centroid GG such that XX lies on line BCBC, YY lies on line ACAC, and ZZ lies on line ABAB. Compute the largest possible value of XGXG.
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