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Law of Sines: Definition and Application

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

In the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

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1. In the pictured triangle, ∠A is 137 degrees and ∠B is 28 degrees. If side b is 71 units long, approximately how long is side a?

2. In the pictured triangle, ∠A is 98 degrees and ∠B is 12 degrees. If side a is 84 units long, approximately how long is side b?

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About This Quiz & Worksheet

The following quiz and worksheet combo will show your understanding of the Law of Sines and its problem solving capabilities.

Quiz & Worksheet Goals

During the assessments, you will be tested on:

  • Calculating the sides of triangles
  • Using given information about two angles in a triangle and a side measurement to solve for a missing side measurement
  • Applying the Law of Sines to triangle problems

Skills Practiced

  • Information recall - access the knowledge you've gained regarding the Law of Sines
  • Knowledge application - use your knowledge to answer questions about ratios
  • Critical thinking - apply relevant concepts to examine information about triangles in a different light

Additional Learning

To learn more, study the lesson titled Law of Sines: Definition and Application. This lesson covers the following subjects:

  • The basis of the Law of Sines
  • Pythagorean Theorem
  • Cross multiplying
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