Points C are taken on segment AB, and point D is taken on segment CB. Find the length of segment BD

Points C are taken on segment AB, and point D is taken on segment CB. Find the length of segment BD if AB = 15 cm, CD = 7cm, AC = 6cm.

1) Let’s find out what the total length of the segments AC and CD has, if it is known that the segment AC is 6 cm, and the segment CD is 7 cm long, which will be one segment AD.
AD = AC + CD = 6 + 7 = 13 cm.
2) Let us find out what is the length of the segment DВ, if it is known that the segment AB is 15 cm long, and the segment AD
made up a length of 13 cm.
DB = AB – AD
DB = 15 – 13 = 2 cm.
Answer: the segment DB is 2 cm long.