OML Search

Law of Sines or Sine Rule Worksheet


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


Related Topics:
More Math Worksheets

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 = 65°
B = °, A = °, a =





We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

Check out our most popular games!

Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!

Fraction Concoction Game

Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.

Fact Family Game

Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.

Number Bond Garden

Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.

Online Addition Subtraction Game


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.