Please see attachment
What does h represent? side c???
Thanks a bunch
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.