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Line with sum of distances from vertices of triangle minimum

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October 12, 2010
trigonometrygeometry unsolvedgeometry

Problem Statement

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.