How many triangles ABC can be constructed with angle A = 30^circ, b = AC = 10 cm and a = BC = 7 cm?

  1. 3
  2. 1
  3. 2
  4. 0
Answer

C) 2

The height from C is h = bsin A = 10 12 = 5 cm. Since h < a < b (5 < 7 < 10), the arc cuts the base twice: two triangles (the ambiguous case). SLO M-09-B-30 · Knowledge

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