on a number line. A ,B and C are such that d(A,C)=10 ,d(C,B)=8 find the d(A,B) considering all possibilities ?
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Given : On a number line, points A, B and C are such that d(A,C) = 10, d(C,B) = 8
To Find : d(A, B) considering all possibilities.
Solution
3!/2 = 3 ways ( A in middle , B in middle or C in Middle)
A B C
AC = 10 BC = 8 => AB = AC - BC = 10 - 8 = 2
A C B
AB = AC + BC = 10 + 8 = 18
B A C ( not Possible ) as AC > BC
AB = 2 or AB = 18
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