# Trig

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Determine the number of triangles with the given parts.

b=24 c=29 B=40deg

I got 1

• Trig -

I get two.

make a sketch
Using the Sine Law, you will get
sinC = 29sin40/24 = .776...
so C = appr 51 degrees or 180-51 = 129 degrees
(since the sine is positive in I or II)

You will be able to draw a second triangle with B = 40, C = 129 and A = 11 degrees

This is called the ambiguous case.

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