Problem

Problem

### What to do: a. Draw AB=10AB = 10 cm. Construct an angle of 30∘30^\circ 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? b. Repeat the procedure from 1 three times, starting with AB=10AB = 10 cm and constructing an angle of 30∘30^\circ at point A. When you draw the arc with centre B, use the radius: - a 5 cm - b 3 cm - c 12 cm c. Using your results from 1 and 2, discuss the possible number of triangles you can obtain given two sides and a non-included angle.

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