2024 Law of Sine & Cosine REVIEW

20.15°

71.23°

51.06°

57.71°

Law of Sines

Law of Cosines

Both

Neither

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 $$106\degree$$

no triangle possible

B = 14^o, C = 21^o, c = 8.7

B = 52^o, C = 102^o, c = 11.2

B = 52^o , C = 102^o, c = 11.2

OR

B = 128^o, C = 26^o, c = 5.0

$$A=67\degree,\ B=73\degree,\ a=5.7cm$$  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  $$A=34.6\degree,\ B=105.4\degree,\ a=5cm$$