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Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.

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Presentation on theme: "Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle."— Presentation transcript:

1 Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.

2 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.

3 Law of Cosines 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 Use Law of Cosines to find: The third side of a triangle when we know two sides and the angle between them; or The angles of a triangle when we know all three sides a b c A B C

4 Law of Cosines 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 8 11 c A B 37°

5 Law of Cosines 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 12 9 c A B 96°

6 Law of Cosines 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 C 8 6 7 A B C

7 Law of Cosines 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 C 15 12 19 A B C

8 Law of Cosines 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 Use Law of Cosines to find: The third side of a triangle when we know two sides and the angle between them The angles of a triangle when we know all three sides a b c A B C

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