Segment A B 28 cm long is divided by point C in the ratio of 2: 5. Find the length of the segments AC and CB.

1. Let’s find how many parts the segment AB is, add the parts that make up AC and BC:
2 + 5 = 7 pieces.
2. Divide the length AB into 7 parts:
28/7 = 4 cm.
3. Find AC and BC by multiplying 4 cm by the number of parts of each of the segments:
AC = 2 * 4 = 8 cm.
BC = 5 * 4 = 20 cm.
Answer: Ac = 8 cm, BC = 20 cm.