Consider the line segments of lengths AB = 5 m, BC = 4 m, AC = 9 m. Which of them lies between the other two?
A
C
B
None of these
AB = 5 m
BC = 4 m
AC = 9 m
5 + 4 = 9
Therefore, AB + BC = AC.
So, B lies in between A and C.
Given line segments of lengths AB= 5 m, BC = 4 m, AC = 9m, which of the points lie between the other two? [1 MARK]
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]