in triangle abc , ab + bc -------- ca
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Theorem: In a triangle, the length of any side is less than the sum of the other two sides. So in a triangle ABC, |AC| < |AB| + |BC|. (Also, |AB| < |AC| + |CB|; |BC| < |BA| + |AC|.) This is an important theorem, for it says in effect that the shortest path between two points is the straight line segment path.
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