Draw any line segment, say $ \overline{\mathrm{AB}} $. Take any point $ \mathrm{C} $ lying in between $ \mathrm{A} $ and $ \mathrm{B} $. Measure the lengths of $ A B, B C $ and $ A C $. Is $ A B=A C+C B $ ?
[Note : If $ A, B, C $ are any three points on a line such that $ A C+C B=A B $, then we can be sure that $ \mathrm{C} $ lies between $ \mathrm{A} $ and $ \mathrm{B} $.]

To do :

We have to draw a line segment $\overline{AB}$ and mark the point C in between A and B and find whether $AB=AC+CB$.  

Solution :

In the above figure, 

AB is a line segment and C lies between A and B.

So, the points A, B, and C are collinear.

Therefore, $AB = AC+CB$. 

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Updated on: 10-Oct-2022

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