Posted by **Helay** on Tuesday, July 2, 2013 at 11:45am.

Determine the number of triangles with the given parts.

b=24 c=29 B=40deg

I got 1

- Trig -
**Reiny**, Tuesday, July 2, 2013 at 12:02pm
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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