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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(X, Y) = 15, d(Y, Z) = 7, d(X, Z) = 8
Solution
We have,
d(X, Y) = 15; d(Y, Z) = 7; d(X, Z) = 8
Now,
d(X, Z) + d(Y, Z) = 7 + 8
Or, d(X, Z) + d(Z, Y) = 15
∴ d(X, Y) = d(X, Z) + d(Z, Y)
Hence, the points X, Z and Y are collinear.
The point Z is between X and Y i.e., X-Z-Y.
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