For perimeter $12$ cm, $\angle B = 75^{\circ}, \angle C = 60^{\circ}$, the construction is

For perimeter $12$ cm, $\angle B = 75^{\circ}, \angle C = 60^{\circ}$, the construction is
  1. possible (unique triangle)
  2. impossible
  3. yields $2$ triangles
  4. requires more data

Solution

$\angle B + \angle C = 135^{\circ} < 180^{\circ}$, so $\angle A = 45^{\circ}$ exists.

Asked in: MH-SSC-9

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