1.

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.

Answer»

Solution :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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