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AIME 2025b Problem 1

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Six points A,B,C,D,E,A, B, C, D, E, and FF lie in a straight line in that order. Suppose that GG is a point not on the line and that AC=26,BD=22,CE=31,DF=33,AF=73,CG=40,AC=26, BD=22, CE=31, DF=33, AF=73, CG=40, and DG=30.DG=30. Find the area of △BGE.\triangle BGE.

Dataset text AIME 1983 to 2026. Quoted with source.

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