# Points A, B and C are collinear. Find the length of the segment BC if AB = 24cm, AC = 32cm.

January 15, 2021 | education

| **Points A, B and C are collinear. Find the length of the segment BC if AB = 24cm, AC = 32cm. How many solutions does the problem have?**

1. This problem can have two solutions, since the point B can either belong to the segment AC on the straight line, or not, but lie on one straight line.

Solution 1:

a) Point B belongs to the segment AC, therefore:

BC = AC – AB = 32 – 24 = 8 cm;

Solution 2:

Point B does not belong to segment AC, therefore:

a) BC = AC + AB = 32 + 24 = 56 cm;

2. Answer: the problem has two solutions; BC = 8 cm or BC = 56 cm.