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Let A, B, C El be points on a common line in a Euclidean plane. Let M be the midpoint of [A, B]. Prove that

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Let A, B, C El be points on a common line in a Euclidean plane. Let M be the midpoint of [A, B]. Prove that if C is not between A, B then |C, AI + IC, BI = 2|C,M| . Hint: This is a simple statement about real numbers

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