How many triangles ABC can be constructed with angle A = 30^circ, b = AC = 10 cm and a = BC = 4 cm?

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

B) 0

The height from C is h = bsin A = 10 12 = 5 cm. Since a = 4 < h, the arc cannot reach the base: no triangle. SLO M-09-B-30 · Knowledge

Mathematics MCQ · More Construction of Triangles MCQs · Practise