min or max absolute sum of distances of a point from vertices
Source: Spanish Mathematical Olympiad 1972 P2
December 5, 2022
geometryGeometric Inequalitiesanalytic geometryinequalities
Problem Statement
A point moves on the sides of the triangle , defined by the vertices , , . Determine the positions of said point, in which the sum of their distance to the three vertices is absolute maximum or minimum.
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