SSA can be considered ambiguous because there can be 0, 1, or 2 solutions. The law of sines can not be applied because of the fact that the angles will be different for the different triangles.
In order to figure out the triangle, the height of the triangle must be found and compared to the side lengths.
Reference the image below:
0 Solutions- a<h
1 Solutions- a=h
2 Solutions- a<h<x
After the number of solutions is found, the law of sines can be used to solve the triangle. Then the supplementary angle of angle b must be found to solve the second triangle.
In order to figure out the triangle, the height of the triangle must be found and compared to the side lengths.
Reference the image below:
0 Solutions- a<h
1 Solutions- a=h
2 Solutions- a<h<x
After the number of solutions is found, the law of sines can be used to solve the triangle. Then the supplementary angle of angle b must be found to solve the second triangle.