Question

On a number line, points A, B and C are such that d(A,B) = 81, d(B,C) = 54 and d(A,C) = 36. Which of the points is between the other two?

• A. Point A is between point B and Point C.
• B. Point B is between point A and Point C.
• C. Point C is between point A and Point B.
• D. None of the above

Answer 1

Answer: (C)

Point C is between point A and Point B.

Given,
d(B,C) = 54 .....(i)
d(A,C) = 36 .....(ii)
d(A,B) = 81 ......(iii)
We have d(B,C) + d(A,C) = 54 + 36 = 81 = d(A,B) [From (i), (ii) and (iii)]
Hence, Point C is between point A and point B.