On the segment AB there are two points C and D segment AD 7cm segment CD 2cm segment CB 6cm find AB.

According to the condition of the problem, it is specified that two points C and D lie on the segment AB, it is also known that the segment AD is 7 cm, the segment CD is 2 cm and the segment CB is 6 cm.This means that point C is between points A and D, and point D is between points C and B.

This problem can be solved in two ways:

1 way

1) AC = AD – CD;

AC = 7 – 2 = 5 (cm);

2) AB = AC + CB;

AB = 5 + 6 = 11 (cm).

2 way

1) DB = CB – CD;

DB = 6 – 2 = 4 (cm);

2) AB = AD + DB;

AB = 7 + 4 = 11 (cm).

Answer: 11 cm.