The Ambiguous Case of SSA

The graph above shows why we can sometimes have no possible triangles sometimes one and sometimes two. Adjust the sliders for , and . You can also drag around point , but it will always be on the circle centered at . If we are given two sides of a triangle and an angle that is not between them (SSA):
  1. Use the Law of Sines to find sine of the angle
  2. Find both angles in Quadrant I and II with the corresponding reference angle.
  3. Find the third angle of the triangle
  4. Reject any impossible triangle.