It is ambiguous because sometimes the three parts that are given will one triangle, two triangles, or not not one triangle at all. Below is an example of a two triangle.
4. Area Formulas: How is the “area of an oblique” triangle derived?
It is derived from the triangle area formula= 1/2bh. In order to know the height of we have to make two triangles by drawing a line down the middle from angle B. We then label that line h because it is the height. With the given information above in the picture, we take the sin of A and equal it to Sin C. We multiply C to each side leaving us with CsinM<A=h. Next, plug in 1/2bh and we get A=1/2b(asinC). For a better understanding click the link below watch the video:
https://www.youtube.com/watch?v=XvIKUYBiAVY
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