How do you find possible triangles given two sides and an angle (SSA)?

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Answer 1 · 2015-01-30T17:50:59

The answer is: with the Sinus Law.

First of all it is useful to say the notation in a triangle:

Opposite at the side #a# the angle is called #A#,
Opposite at the side #b# the angle is called #B#,
Opposite at the side #c# the angle is called #C#.

So, the Sinus Law can be written:

#a/sinA=b/sinB=c/sinC#

So, if (e.g.) we know #a,b,A# (SSA), then:

#sinB=sinA*b/a# and so #B# is known;

#C=180°-A-B# and so #C# is known;

#c=sinC/sinB*b#