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

Step 1. Draw a line $AB$ and point $C$ lying in between $A$ and $B$ .
Step 2. Measure the lengths of $AB, BC$ and $AC$ .
Measure the length with the help of ruler.
So, we find that $AB = 8 cm, BC = 3 cm$ and $AC = 5 cm$ .
Step 3. Determine whether $AB = AC + CB$ .
Substitute $3$ for $CB$ and $5$ for $AC$ in $AB = AC + CB$ .
$\begin{array}{rcl} A B & = & 5 + 3 \\ = & 8 cm \end{array}$
Hence, the statement $AC = AB + CB$ is true then it showed that point $C$ lying in between $A$ and $B$ .

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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 $B$ .