1. Draw a line segment AB. Take any point C
in between A and B. Measure the lengths
- of AB, AC and BC. Is AB = AC + CB?
please help
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[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]
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
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,
AB
is a line segment of 6cm and C is a point between A and B, such that it is 2cm away from point B. We can find that the measure of line segment
AC
comes to 4cm.
Hence, relation AB=AC+CB is verified.
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