On a numberline , points A ,B & C are such that d (A,C) =10 , d (C,B)=8 Find d ( A , B ) considering all possibilities.
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There are only two possibilities.
case 1 :-
when point c is between the points A and B
We have,d (A,C) = 10;d (C, B)= 8
Now,d(A,B) = d (A,C) + d (C,B) = 10 +8
.°. d (A,B) = 18
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case 2 :-
when point B is between the points
A and C.
We have d,( A,C)= 10;d (C,B) =8
Now, d (A,C) = d (A,b) + d (B,C)
so, d (A,B) = d (A,C) - d (B,C) =10 -8
.°. d (A,B) = 2
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