Points: M, N, C are collinear. It is known that MN = 9 cm, NC = 4 cm, MC = 5 cm.

univerkov | August 30, 2021 | education

Points: M, N, C are collinear. It is known that MN = 9 cm, NC = 4 cm, MC = 5 cm. Does point C belong to the segment MN?

No, it doesn’t. This cannot be, since the larger segment cannot belong to the smaller one.
If we place points on a straight line in the order given in the problem, then it turns out that in the MC segment, which is 5 cm, there is a segment that is 9 cm.
If we swap the points N and C, then we get the following order of points: M, N, C. With this order, the MC segment will be 9 cm and will include one 5 cm segment and a second 4 cm segment.
And 4 cm and 5 cm in total will give 9 cm – there will be no conflict.

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