What to do:
(1) Draw AB=10 cm. Construct an angle of 30∘ at point A. Using B as the centre, draw an arc of a circle with radius 6 cm. Let C denote the point where the arc intersects the ray from A. How many different possible points C are there, and therefore how many different triangles ABC may be constructed?
(2) Repeat the procedure in part 1 with AB=10 cm and an angle of 30∘ at point A, using an arc centred at B with radius 5 cm, 3 cm, and 12 cm, respectively.
(3) Using the results from parts 1 and 2, discuss the possible number of triangles obtainable given two sides and a non-included angle.