1 / 10

4-7a Law of Sines and the Law of Cosines

Rigor: You will learn how to use the Law of Sines and Cosines to solve right triangle problems. Relevance: You will be able to use the Law of Sines and Cosines to solve real world problems. . 4-7a Law of Sines and the Law of Cosines. Cases:. ASA or SAA 2 SSA 3 SAS 4 SSS.

elton
Télécharger la présentation

4-7a Law of Sines and the Law of Cosines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Rigor:You will learn how to use the Law of Sines and Cosines to solve right triangle problems.Relevance:You will be able to use the Law of Sines and Cosines to solve real world problems.

  2. 4-7a Law of Sines and the Law of Cosines

  3. Cases: • ASA or SAA 2 SSA 3 SAS 4 SSS LAW OF SINES LAW OF COSINES

  4. Triangles: • AAS – 2 angles, non-included side Creates 1 triangle • ASA – 2 angles, included side Creates 1 triangle

  5. Law of Sines:

  6. Example 1: Solve ∆ABC. Round side lengths to the nearest tenth and angle measures to the nearest degree. C = 180° – 35° – 103° = 42° Use law of Sines to find a and c. , , and C = 42°

  7. Two Triangle One Triangle No Triangle One Triangle No Triangle One Triangle

  8. Example 3a: Find all solutions for the triangle. If no solution exists, write no solution. Round side lengths to the nearest tenth and angle measures to the nearest degree. a. a = 15, c = 12, A = 94° A is obtuse and a > c one solution exists. Use law of Sines to find C and b. , C , and B 33°

  9. Example 3b: Find all solutions for the triangle. If no solution exists, write no solution. Round side lengths to the nearest tenth and angle measures to the nearest degree. a. a = 9, b = 11, A = 61° A is acute and a < b so find h. No triangle can be formed so there is no solution.

  10. math! • 4-7a Assignment: TX p298, 2-24 even

More Related