# 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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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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AC = CB

Also AC + AC = BC + AC. (Equals are added to equals)

BC + AC coincides with AB

⇒ 2AC = AB

⇒ AC = 1/ 2 AB.