1. Starter 15 9 θ

2. Test Revisions Overall goal: YOU learning new concepts and problem-solving skills Test goal: To see what you have learned, what you are still learning, and to provide MULTIPLE opportunities to show mastery 1.Today, we will review the FIRST test answers together – take notes! 2.You will have until next class to study 3.Next class, you will retake ONLY the questions you missed on a NEW test 4.Next class, you will turn in BOTH the NEW test AND the FIRST test 5.You need to retake questions if you have a 10 or less. A score of 10/14 is 71.4 percent, which is a C-. If you haven’t taken the test yet: 1.Take notes today 2.Next class, you will take the NEW test

3. Objectives 1.Use the Law of Sines to solve for the sides and angles of ANY triangle. 2.Use the Law of Cosines to solve for the sides and angles of ANY triangle. 3.Use sine to find the Area of a Triangle.

4. Law of Sines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Any two (2) fractions can be used from this equation to find the missing pieces It works for ANY triangle (not only right triangles) a b c A B C

5. Law of Sines: Does it work? a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Find: 8 5 9 62.2° 84.3° 33.5°

6. Law of Sines: How to use it? a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate side c. a 7 c A 105° 35°

7. Law of Sines: How to use it? a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate angle B. a 4.7 5.5 A 63° B

8. Law of Sines: Ambiguous Case *This ONLY happens in the “Side-Side-Angle” case

9. a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate angle B. a 41 28 A 39° B Law of Sines: Ambiguous Case

10. a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Law of Sines: Ambiguous Case

11. Area of a Triangle *Use this equation for area WHEN we know two (2) sides AND the angle between them (SAS). a b c A B C

12. Area of a Triangle *Use this equation for area WHEN we know two (2) sides AND the angle between them (SAS). a 10 7 25° B C

13. Area of a Triangle *Use this equation for area WHEN we know two (2) sides AND the angle between them (SAS). 231 m 150 m c A B 123°