   SEARCH HOME Math Central Quandaries & Queries  Question from Carl, a parent: the points H,S,D,K,L, and B are collinear. KS+SB=KB DH+HS=DS DH+HK=DK point L and B are not between any other labeled points on the line. <-------------------------------------------------------------------------> _ _ _ _ _ _ Hi Carl,

I think I can point you in the right direction to solve this problem.

First I am not sure what KS+SB=KB means. It might means that if you append the interval KS to the interval SB you obtain the interval KB. It might be that KS designates the length of the interval from K to S and similarly for the others. In either case from the statement KS+SB=KB I can conclude that K is to the left of S and S is to the left of B. Apply the same reasoning to the other two equations and see what that tells you about the placement of H, S, D, K and B. Finally what does the last sentence say about the placement of L?

Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.