Given that the line segment AB = 20cm, there is a point C on the line AB, and BC = 6cm, M is the midpoint of the line segment AC, find the length of the line segment BM

Given that the line segment AB = 20cm, there is a point C on the line AB, and BC = 6cm, M is the midpoint of the line segment AC, find the length of the line segment BM

There are two cases
1. When C is on the left side of B: AC = ab-bc = 14cm
M is the midpoint of line AC, CM = 7cm
So BM = 13cm
2. When C is on the right side of B: AC = AB + BC = 26cm
M is the midpoint of line AC, CM = 13
So BM = 13-6 = 7cm