# 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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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