ambiguous case law of sine

Two Triangles

One Triangle

None

Two Triangles

One Triangle

None

$$58\degree$$ and $$122\degree$$

$$61\degree$$ and $$119\degree$$

$$78\degree$$ and $$102\degree$$

$$74\degree$$ and $$106\degree$$

$$49\degree$$

$$29\degree$$

$$49\degree$$ and $$131\degree$$

$$29\degree$$ and $$151\degree$$

no triangle possible

B = 11.219^o, C = 141.781^o, c = 19.078

B = 38.219^o, C = 114.781^o, c = 27.998

B = 11.219^o, C = 141.781^o, c = 19.078

OR

B = 38.219^o, C = 114.781^o, c = 27.998

$$A=67\degree,\ B=73\degree,\ a=5.7cm$$  or  $$A=33\degree,\ B=107\degree,\ a=3.5cm$$  

$$A=65.4\degree,\ B=74.6\degree,\ a=5.7cm$$  or  $$A=34.6\degree,\ B=105.4\degree,\ a=3.5cm$$  

Not a triangle

$$A=65.4\degree,\ B=74.6\degree,\ a=7cm$$  or  $$A=34.6\degree,\ B=105.4\degree,\ a=5cm$$  

33

24

12

29

10

8

6.1

4.9

$$58\degree$$

$$61\degree$$

$$78\degree$$

$$74\degree$$

12

10

23

14