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Question

Draw any line segment, say ¯¯¯¯¯¯¯¯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.]


Solution

Let us draw a segment AB such that C lying between A and B as follows 

Now let us measure the lengths of above segments to verify the condition of AC+CB=AB
Thus,  AB=6.5 cm,AC=3 cm,CB=3.5 cm
Consider AC+CB=3 cm+3.5 cm
=6.5 cm
=AB
Hence, AC+CB=AB holds true.


Mathematics
NCERT Textbook
Standard VI

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