Ambiguous Case of Law of Sines Worksheet (pdf) with answer key , visual explanations and challenge problems

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

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 .

Picture of the ambiguous case of the law of sines

Diagram of the ambiguous case of the law of sines

This is a 5 part worsheet

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

Ambiguous Case of the Law of Sines video tutorial, diagrams and extra practice
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Ambiguous Case- Law of Sines Worksheet