In triangle ABC, it is known that AC = 58, BM-median, BM = 37. Find AM.

Given: Δ ABC, AC = 58, BM – median, BM = 37.

Find: AM -?

Decision:

Consider Δ ABC: it is known that BM is the median, and the median of a triangle is a segment connecting the apex of the triangle with the middle of the opposite side, i.e. AM = MC = AC / 2 = 58/2 = 29.

Answer: AM = 29.



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