Question 1166436: Let A,B,C,D be collinear points such that AB = 2, AC = 3, AD = 4, BC = 5, BD = 6, CD = 1: establish the betweenness relations.
Answer by greenestamps(13200)   (Show Source):
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The points are all collinear; the distance from A to B is 2, the distance from A to C is 3, and the distance from B to C is 5. Since the distance from B to C is the SUM of the distances from A to B and from A to C, A is between B and C.
Then the distance from B to D is 6, the distance from B to C is 5, and the distance from C to D is 1. Since the distance from B to D is the SUM of the distance from B to C and the distance from C to D, C is between B and D.
ANSWERS: A is between B and C; C is between B and D.
So the order of the points on the line is B-A-C-D.
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