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Question
Draw any line segment, say `overline"AB"`. Take any point C lying in between A and B. Measure the lengths of AB, BC, and AC. Is AB = AC + CB?
[Note: If A, B, and C are any three points on a line such that AC + CB = AB, then we can be sure that C lies between A and B.]
Solution
It is given that point C is lying somewhere in between A and B. Therefore, all these points are lying on the same line segment `overline"AB"`. Hence, for every situation at which point C is lying in between A and B, it may be said that AB = AC + CB.
For example,
`overline"AB"` is a line segment of 6 cm and C is a point between A and B, such that it is 2 cm away from point B. We can find that the measure of line segment `overline"AC"` comes to 4 cm.
Hence, relation AB = AC + CB is verified.
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