My Math Forum Which case is the ambiguous case? Triangle

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 October 31st, 2012, 10:14 AM #1 Member   Joined: Mar 2012 Posts: 60 Thanks: 0 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.
 October 31st, 2012, 02:57 PM #2 Global Moderator   Joined: Dec 2006 Posts: 21,027 Thanks: 2258 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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