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If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB. Explain by drawing the figure. 

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According to the given statement, the figure will be as shown alongside in which the point C lies between two points A and B such that AC = BC. 

Clearly, AC + BC = AB 

⇒ AC + AC = AB [∵AC = BC] 

⇒ 2AC = AB 

 And, AC = 1/2 AB 

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