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(R, S) = 8,  d(S, T) = 6,  d(R, T) = 4

Answer 1

We have,

d(R, S) = 8; d(S, T) = 6; d(R, T) = 4

Now,

8 + 6 = 14, so 8 + 6 ≠ 4;

6 + 4 = 10, so 6 + 4 ≠ 8

and 8 + 4 = 12, so 8 + 4 ​≠ 6

Since, the sum of the distances between two pairs of points is not equal to the distance between the third pair of points, so the given points R, S and T are non-collinear.