The medians of the triangle are divided by their point of intersection in a ratio of 2: 1. If the median is 15 cm long, what is the smaller of the median parts?
According to the condition BM = 15 cm. The segment BM is divided into segments BО and MO in a ratio of 2/1.
BO / MO = 2/1.
BО = 2 * MO.
BО + MO = 15 cm.
2 * MO + MO = 15.
3 * MO = 15.
MO = 15/3 = 5 cm.
Answer: The smallest part of the median is 5 cm.
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