Draw any line segment, say. 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, 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]

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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. Hence, for every situation in which point C is lying in between A and B, it may be said that AB = AC + CB.

For example,

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 comes to 4 cm.

Hence, relation AB = AC + CB is verified.

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Draw any line segment, say. 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, 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]

Draw any line segment, say. 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, 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]