1.

Ifa point C lies between two points A and B such that AC =BC then prove that AC=1/2 AB

Answer»

Solution :Let US consider three POINTS A,C and B on a line such that AC=BC .then AC=CB
By EUCLID 's Axiom 2 we know that if EQUALS be added to equals then the wholes are equal

`therefore AC=CB rarr AC+AC=AC+CB`
`rarr 2AC=AB`
`rarr AC=1/2 AB`
Hence `AC=1/2 AB`


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