DK-GEORGMOHR 2003 Problem 4
Georg and his mother love pizza. They buy a pizza shaped as an equilateral triangle. Georg demands to be allowed to divide the pizza by a straight cut and then make the first choice. The mother accepts this reluctantly, but she wants to choose a point of the pizza through which the cut must pass. Determine the largest fraction of the pizza which the mother is certain to get by this procedure.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2003 official paper, page 1.
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