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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
avatar+86943 
+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 ........

 

 

 

cool cool cool

CPhill  Dec 3, 2017
edited by CPhill  Dec 3, 2017
 #2
avatar+1048 
+1

I represent that remark!laugh

GingerAle  Dec 4, 2017

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