MathDB
2019 Geometry Tiebreaker # 2

Source:

September 10, 2023
Geometry Tiebreaker2019

Problem Statement

Consider a triangle △ABC\vartriangle ABC with AB=5AB = 5 and BC=4BC = 4. Let GG be the centroid of the triangle, and let PP lie on line AGAG such that AG=GPAG = GP and P≠AP\ne A. Suppose that PP lies on the circumcircle of △ABC\vartriangle ABC. Compute CACA.
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