Draw any line segment, say $¯ ¯¯¯¯¯¯ ¯ A B$ . Take any point $C$ lying in between $A$ and $B$ . 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 $C$ lies between $A$ and $B$ .]

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Solution

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

Now let us measure the lengths of above segments to verify the condition of $A C + C B = A B$
Thus, $A B = 6.5 c m, A C = 3 c m, C B = 3.5 c m$
Consider $A C + C B = 3 c m + 3.5 c m$
$= 6.5 c m$
$= A B$
Hence, $A C + C B = A B$ holds true.

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Similar questions

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]

Divide a line segment AB of any length putting a point C such that $\frac{A C}{C B}$ is 3:1.

A point C is called the midpoint of a line segment $¯ ¯¯¯¯¯¯ ¯ A B$ if

(a) C is an interior of AB

(b) AC=CB

(d) AC+CB=AB

A, B, C

B

A

C

A C - A B = B C

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