Consider the triangle below. Click on the picture to see it more clearly.

In questions 1, 2 and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so called "ambigous" case since it can give 0 triangles, 1 triangle or 2 triangles.
In each case determine the number of triangles possible with the given parts. (enter 0, 1 or 2)

1. $a=6.7$, $b=20$, $A=34 ^\circ$
number of possible triangles:

2. $a=29.6$, $b=20$, $A=47 ^\circ$
number of possible triangles:

3. $a=11.4$, $b=13$, $A=42 ^\circ$
number of possible triangles: