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point that each line passing bisects areas in triangle (Chile 2016 L2 P2)

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October 22, 2022
geometryareas

Problem Statement

For a triangle △ABC\vartriangle ABC, determine whether or not there exists a point PP on the interior of △ABC\vartriangle ABC in such a way that every straight line through PP divides the triangle △ABC\vartriangle ABC in two polygons of equal area.
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