How many triangles ABC can be constructed with angle A = 30^circ, b = AC = 8 cm and a = BC = 6 cm?

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

B) 2

The height from C is h = bsin A = 8 12 = 4 cm. Since h < a < b (4 < 6 < 8), 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