Triangle equality

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Consider three distinct points A,B,C on a plane. The sum of straight line distances from A to B and B to C is always greater than or equal to the straight line distance from A to C. Equality holds only when ABC is a degenerate triangle. This is the famous triangle inequality In this case, distance between points is measured by the Euclidean metric. ie, the distance between points (x1,y1) and (x2,

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