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Draw any line segment, say \(\over{AB}\). 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, 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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Answer» 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 \(\over{AB}\). 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: \(\over{AB}\) 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 \(\over{AC}\) comes to 4 cm Hence, relation AB = AC + CB is verified |
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