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If A,B and C are three points on a line...

If A,B and C are three points on a line and B lies between A and C (as shown in the given figure), then prove that AB+ BC= AC

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It is clear from the given figure that AC coincides with AB+BC By Euclid 's Axiom 4 we know that the things that coincide with one another are equal to one another
`therefore` AB+BC=aC
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