2. Copyright © 2011 Pearson, Inc. 5.5 Law of Sines Goal: Solve triangles that have no solution, one solution, or two solutions.

3. 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.

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

5. Copyright © 2011 Pearson, Inc. When should you use the… Law of Cosines? Law of Sines?

6. Copyright © 2011 Pearson, Inc. Find AB.

7. Copyright © 2011 Pearson, Inc. Find BC.

8. Copyright © 2011 Pearson, Inc. Find all possible values of angle C to the nearest degree.

9. Copyright © 2011 Pearson, Inc. How did you draw your triangle?

10. Copyright © 2011 Pearson, Inc.

11. Find the height of the tree to the nearest foot. Slide 5.5 - 10

12. Copyright © 2011 Pearson, Inc. Locating a Fire Slide 5.5 - 11