For $BC = 6, \angle B = 60^{\circ}, AB - AC = 7$. Construction is

For $BC = 6, \angle B = 60^{\circ}, AB - AC = 7$. Construction is
  1. impossible (since $|AB-AC| > BC$)
  2. possible
  3. requires more data
  4. yields $2$ triangles

Solution

$|AB-AC|=7 > 6 = BC$ violates triangle inequality.

Asked in: MH-SSC-9

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