Point C is midpoint AD. Point D is midpoint CB. Point E is midpoint DB. Find segment AB if segment DE = 2cm.

It is known that DE = 2 cm, point E is the middle of the segment DB, this means that DE = EB = 2 cm. DB = DE + EB = 2 + 2 = 4 (cm). Point D is the middle of CB, which means that CD = DB. DВ is known and is equal to 4 cm, respectively, and СD = 4 cm. Point C –
middle of AD, which means that AC = CD. CD is known and is equal to 4 cm, respectively, and AC = 4 cm.
In order to find the segment AB, it is necessary to add up all the segments that make up the segment AB, namely:
AB = AC + CD + DE + EB = 4 + 4 + 2 + 2 = 12 (cm)
Answer: 12 cm