Using the Law of Sines to Solve a Triangle


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What kinds of triangles can you solve with the law of sines?

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1. If we are given sides a and c along with angle A, which of the following can be found by using the law of sines?

2. If we are given angles A and C along with side c, which of these formulas can we use to find side a?

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About This Quiz & Worksheet

The law of sines can be used to find missing angle or side measurements on a triangle. You can use this quiz to test your skill level in utilizing the law of sines and finding missing information with it.

Quiz & Worksheet Goals

Examine how well you understand the following with this quiz and worksheet:

  • The basics of the law of sines
  • Variations of the law of sines formula
  • Using the law of sines to solve for a missing side or angle
  • Calculating what data you need to solve problems using the law of sines

Skills Practiced

When you utilize these review materials, you are practicing the following:

  • Information recall - access the knowledge you've gained regarding how to use the law of sines
  • Problem solving - use acquired knowledge to solve practice problems with the law of sines
  • Knowledge application - use your knowledge to answer questions about solving problems involving triangles

Additional Learning

Check out the accompanying lesson titled Using the Law of Sines to Solve a Triangle to learn more about this useful trigonometric function. When you watch the video lesson, you'll be covering the following objectives:

  • Learn the basics of the law of sines and when it can be used
  • Review the notation used to signal sides and angles of a triangle
  • Study the formula for the law of sines
  • Examine what information you need to solve for specific angles and sides