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October 31st, 2012, 10:14 AM   #1
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Which case is the ambiguous case? Triangle

In Triangle ABC, with c=2 , Which is the ambiguous case Upper case will equal angle, lower case side
1. a=4 angle B = 40 degrees
2. b=3 Angle b= 40 degrees
3. Angle B =40 Angle a= 80 degrees
4. b=3 a=4

I don't think any of the answers are correct. Anyone else agree? I think it was a mistake on an exam question.
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October 31st, 2012, 02:57 PM   #2
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If case 2 should refer to angle B, it features only one angle, the side opposite that angle and another side, which means the sine rule can be used to determine the sine of a second angle. If that sine is 1/2, say, how do you know whether the corresponding angle is 30° or 150°?
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