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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.

Text Solution

Verified by Experts

We have, AC = BC,
Adding AC on both sides, we get
`AC+AC=BC+AC" (if equals added to equals then wholes are equal)"`
`rArr" "2AC=AB" "(becauseAC+CB=AB)`
`rArr" "AC=(1)/(2)AB" Hence Proved."`
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