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Question
From the information given below, find which of the point is between the other two. If the points are not collinear, state so.
d(A, B) = 16, d(C, A) = 9, d(B, C) = 7
Solution
We have, d(A, B) = 16; d(C, A) = 9; d(B, C) = 7
Now, d(C, A) + d(B, C) = 9 + 7
Or, d(A, C) + d(C, B) = 16
∴ d(A, B) = d(A, C) + d(C, B)
Hence, the points A, C and B are collinear.
The point C is between A and B i.e., A-C-B.
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