Ambiguous Case - Law of Sines Worksheet

Objective

Students will practice solve problems involving the ambiguous case of the law of sines to solve a variety of problems including word problems.

Example Questions

Example problem of law of sines ambiguous case

A triangle has two sides with lengths of 20 and 15. The measure of the angle opposite the side with a length of 15 is 35°. Find all the possible measures of the angle opposite the side with a length of 20 to the nearest degree

Example challenge problem from worksheet
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Visual Aides

Picture of the ambiguous case of the law of sines Diagram of the ambiguous case of the law of sines

Other Details

This is a 5 part worksheet:

  • Part I Model Problems
  • Part II Practice Problems (1-6)
  • Part III Practice(harder) & Word Problems (7 - 18)
  • Part IV Challenge Problems
  • Part V Answer Key

Resources

Download this web page as a pdf with answer key

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