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a line passes through a point inside a parallelogram with max area difference

Source: Czech And Slovak Mathematical Olympiad, Round III, Category A 2012 p4

February 13, 2020
geometryparallelogramareamax

Problem Statement

Inside the parallelogram ABCDABCD is a point XX. Make a line that passes through point XX and divides the parallelogram into two parts whose areas differ from each other the most.