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Law of Sines or Sine Rule

 

 

Objective: I know how to use the Law of Sines or Sine Rule to solve triangles.

 

For any triangle ABC, as shown,

 

the law of sines or sine rule states that

 

 

 

Refer to the lesson on the law or sines or sine rule for more information and examples.

 

 

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. Find the lengths of the other two sides (to 3 decimal places) of the triangles with
(a) a = 2, A = 30°, B = 40°
b = , c =

(b) b = 5, B = 45°, C = 60°
a = , c =

(c) c = 3, A = 37°, B = 54°
a = , b =

2. Find all possible triangles (give the sides to 3 decimal places and the angles to 1 decimal place) with
(a) a = 3, b = 5, A = 32°
Two possible triangles:
B = °, C = °, c =
and B = °, C = °, c =

(b) b = 2, c = 4, C = 63°
B = °, A = °, a =

(c) c = 2, a = 1, B = 108°
b = , A = °, C = °

 

 

 

 

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