How many triangles ABC can be constructed with angle A = 30^circ, b = AC = 12 cm and a = BC = 10 cm?

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

B) 2

The height from C is h = bsin A = 12 12 = 6 cm. Since h < a < b (6 < 10 < 12), the arc cuts the base twice: two triangles (the ambiguous case). SLO M-09-B-30 · Knowledge

Mathematics MCQ · More Construction of Triangles MCQs · Practise