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ILL 1984 Problem 8

    In the plane of a given triangle A1A2A3A_1A_2A_3 determine (with proof) a straight line ll such that the sum of the distances from A1,A2A_1, A_2 , and A3A_3 to ll is the least possible.

    Dataset text AI-MO AoPS. Quoted with source.

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