Copyright © 2011 Pearson, Inc. 5.5 Law of Sines. Copyright © 2011 Pearson, Inc. Slide 5.5 - 2 What you’ll learn about Deriving the Law of Sines Solving.

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Presentation transcript:

Copyright © 2011 Pearson, Inc. 5.5 Law of Sines

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Deriving the Law of Sines Solving Triangles (AAS, ASA) The Ambiguous Case (SSA) Applications … and why The Law of Sines is a powerful extension of the triangle congruence theorems of Euclidean geometry.

Copyright © 2011 Pearson, Inc. Slide Law of Sines

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Angles and a Side

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Angles and a Side

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Angles and a Side

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2011 Pearson, Inc. Slide Example Finding the Height of a Pole x 15ft 15 º 65 º B A C

Copyright © 2011 Pearson, Inc. Slide Example Finding the Height of a Pole x 15ft 15 º 65 º B A C

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

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