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min length of segment that is area bisector in an equilateral triangle

Source: 2016 Portugal p3

October 10, 2020
geometryareasequal areasEquilateral

Problem Statement

Let [ABC][ABC] be an equilateral triangle on the side 11. Determine the length of the smallest segment [DE][DE], where DD and EE are on the sides of the triangle, which divides [ABC][ABC] into two figures with equal area.
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