# Law of Sines or Sine Rule Worksheet

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

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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.

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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 = 65°
B = °, A = °, a =

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