Point B was marked on the segment AC so that the length of the segment BC is 3/5 of the length

univerkov | May 28, 2021 | education

Point B was marked on the segment AC so that the length of the segment BC is 3/5 of the length of the segment AB. Find the ratio of the lengths of the segments AC and BC. Point B was marked on the segment AC so that the length of the segment BC is 3/5 of the length of the segment AB. Find the ratio of the lengths of the segments AC and BC.

Segment AC = AB + BC = AB + (3/5) * AB = AB * (1 + 3/5) = AB * (8/5).
The ratio BC / AC = AB * (3/5) / AB * (8/5) = 3/8.

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