For $BC = 8, \angle B = 45^{\circ}, AB - AC = 3$. Construction is

For $BC = 8, \angle B = 45^{\circ}, AB - AC = 3$. Construction is
  1. possible (unique)
  2. impossible
  3. yields infinite triangles
  4. requires angle bisector

Solution

$3 < 8$, so triangle inequality holds.

Asked in: MH-SSC-9

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