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Question:

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

Solution:

As given AC = BC..eq(1)
From equation(1) AC = BC
Adding AC on both sides, AC + AC = BC + AC
2AC = AB (∵ BC + AC = AB)
∴ AC = 1/2AB