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Euclidean Geometry

If a point C ...

Question

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

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Solution

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

Clearly, AC + BC = AB

AC + AC = AB [ AC= BC]

2AC = AB

AC = AB/2

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