1. Copyright © 2011 Pearson, Inc. 5.5 Law of Sines

2. Copyright © 2011 Pearson, Inc. Slide 5.5 - 2 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.

3. Copyright © 2011 Pearson, Inc. Slide 5.5 - 3 Law of Sines

4. Copyright © 2011 Pearson, Inc. Slide 5.5 - 4 Example Solving a Triangle Given Two Angles and a Side

5. Copyright © 2011 Pearson, Inc. Slide 5.5 - 5 Example Solving a Triangle Given Two Angles and a Side

6. Copyright © 2011 Pearson, Inc. Slide 5.5 - 6 Example Solving a Triangle Given Two Angles and a Side

7. Copyright © 2011 Pearson, Inc. Slide 5.5 - 7 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

8. Copyright © 2011 Pearson, Inc. Slide 5.5 - 8 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

9. Copyright © 2011 Pearson, Inc. Slide 5.5 - 9 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

10. Copyright © 2011 Pearson, Inc. Slide 5.5 - 10 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

11. Copyright © 2011 Pearson, Inc. Slide 5.5 - 11 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

12. Copyright © 2011 Pearson, Inc. Slide 5.5 - 12 Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

13. Copyright © 2011 Pearson, Inc. Slide 5.5 - 13 Example Finding the Height of a Pole x 15ft 15 º 65 º B A C

14. Copyright © 2011 Pearson, Inc. Slide 5.5 - 14 Example Finding the Height of a Pole x 15ft 15 º 65 º B A C

15. Copyright © 2011 Pearson, Inc. Slide 5.5 - 15 Quick Review

16. Copyright © 2011 Pearson, Inc. Slide 5.5 - 16 Quick Review Solutions