Hi Ashz,

h is the height of the triangle.

Let me state the ambiguous case a little differently. You might reference: The law of sines, including the ambiguous case.

Consider triangle ABC, with sides a, b, c (a opposite angle A, b opposite angle B, and c opposite angle C)

I. Case 1:

If , we have only one solution

If , then we need to compare a with h.

If , then there is no solution.

If , then there is one solution.

If , then there are two solutions.

II. Case 2:

If , then there is no solution.

If , then there is one solution.

I hope this helps. It sounds like a lot of stuff to keep up with, but keep the notes handy and it will take the mystery out of the ambiguous case.

I like to call this case the "Donkey Law of Sines" because it comes into play only when you have an Angle - Side - Side situation or "ASS". Politically correct texts call it SSA.