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max distance |MA-MB|

Source: Polish MO Finals 1955 p5

August 29, 2024
geometryconstructionGeometric Inequalities

Problem Statement

In the plane, a straight line m m is given and points A A and B B lie on opposite sides of the straight line m m . Find a point M M on the line m m such that the difference in distances of this point from points A A and B B is as large as possible.
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