A 15 cm segment AB is divided by point C in a ratio of 3: 7. Find the length of each line.

univerkov | March 23, 2021 | education

1. Since the ratio of the lengths of the segments is 3: 7, it means that the entire segment AB can be divided into 3 + 7 = 10 equal parts.
2. Divide 15 cm of length AB into 10 parts and get the length of 1 part:
15/10 = 1.5 cm.
3. Find the lengths of AC and BC by multiplying their parts by the length of 1 part:
AC = 3 * 1.5 = 4.5 cm.
BC = 1.5 * 7 = 10.5 cm.
Answer: AC = 4.5 cm, BC = 10.5 cm.

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