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

1 Answer
Massimiliano
Jan 30, 2015

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

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