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Transcript
```Precalc 5.5: Solving an Oblique Triangle using Law of Sines, The Ambiguous Case – A Pain in the SSA
Given two consecutive sides and a
non-included angle [SSA],
ZERO, ONE or TWO TRIANGLES may
exist
For example, given sides a and b, and
angle A, first:
use Law of Sines to find
If
, then no triangles exist
and you are done
If
, then at least
one triangle exists.
Find angle B1, using
then find angle B2:
If
, only one triangle
exists. Solve it using
Law of Sines and Rule of 180
If
,
, two triangles
exist. Solve them both using
Law of Sines and Rule of 180.
Note: The given Angle and sides will
be the same for both triangles. The
non-given angles and side will have
different values.
```
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