Points A, B, C are given on the straight line. It is known that AB = 1.5 cm, AC = 2.5, BC = 4

Points A, B, C are given on the straight line. It is known that AB = 1.5 cm, AC = 2.5, BC = 4. Which of the three points lies between the other two?

1. Suppose point B lies between points A and C, then the following condition must be met:
AC = AB + BC;
2.5 = 1.5 + 4;
2.5 ≠ 5.5 (point B does not lie between A and C);
2. Suppose point C lies between points A and B, then the following condition must be met:
AB = AC + CB;
1.5 = 2.5 + 4;
1.5 ≠ 6.5 (point C does not lie between A and B);
3. Suppose point A lies between points B and C, then the following condition must be met:
BC = AB + AC;
4 = 1.5 + 2.5;
4 = 4 (point A lies between B and C);
Answer: point A lies between points B and C.