Segment AB has a single common point A with plane Alpha; point C divides it in a ratio of 2: 1

| August 6, 2021 | education

Segment AB has a single common point A with plane Alpha; point C divides it in a ratio of 2: 1 counting from point A. Through points C and B parallel straight lines are drawn that intersect plane Alpha, respectively, at points C1 and B1 length of segment AC1 = 12cm Find the length of segment AB1

In the segment ACB, the relationship between AC and CB is 2: 1.
This means that the AC segment is twice as large as the CB segment.
Since AB is completely parallel to AB1, and BC = B1C1, the length of the segments ABC and A1B1C1 will be equal.
Based on this, it means that:
1) 12/2 = 6 (centimeters) – the length of the CB segment, and therefore C1B1.
Next, we find the sum of two segments AC and CB:
2) 12 + 6 = 18 (centimeters) – the length of the AC and CB together.
Based on this, the segment AB is equal to 18 centimeters, since AB is a total of two segments, namely AC and CB.
Answer: The length AB is 18 centimeters.



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