2 At a fair there are three hamburger stands, A. B and C. The fairground is in the shape of a rectangle with dimensions 100m by 50m. The bottom-left corner of the field can be regarded as the origin of a coordinate system, with the diagonally opposite corner as (100, 50). The hamburger stands are at the points A (20, 30), B(80, 30) and C(40, 10). a Find the equations of the perpendicular bisectors of: i A and C il B and C. People will always go to the hamburger stand that is closest to them. b Draw the Voronoi diagram that represents this situation. 101 9 8 7 6 5 4 32 2 1 123 5 6 7 8 9 10

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