Six points are put on a segment 23cm long (including the end points of the segment) This creates 15 different distances between the points which are in cm 2,3,5,6,7,8,9,n,13,14,15,18,20,21 and 23. What is the value of n

Guest Dec 3, 2017

#1**+3 **

Call the points A, B, C, D , E, F

Let A= (0,0) B = (3,0) C = (8,0) D = (14,0) E = (21,0) F = (23,0)

Choosing any 2, we have C(6, 2) = 15 possibilities

EF = 2 CD = 6 DF = 9 CF = 15 AE = 21

AB = 3 DE = 7 CE = 13 BE = 18 AF = 23

BC = 5 AC = 8 AD = 14 BF = 20

BD is the "Missing Link" = "n" = 11

However....some members might consider "Ginger Ale" to be the "Missing Link".....I'll have to let them decide that for themselves ........

CPhill
Dec 3, 2017