1 / 10

Notes Over 8.1

Notes Over 8.1. Solving Oblique Triangles. To solve an oblique triangle , you need to be given one side, and at least two other parts (sides or angles). 4 cases for oblique triangles. 1. Two angles and any side (AAS or ASA). C. 2. Two sides and an angle opposite one of them (SSA). a. b.

zea
Télécharger la présentation

Notes Over 8.1

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. Notes Over 8.1 Solving Oblique Triangles To solve an oblique triangle , you need to be given one side, and at least two other parts (sides or angles). 4 cases for oblique triangles 1. Two angles and any side (AAS or ASA) C 2. Two sides and an angle opposite one of them (SSA) a b 3. Three sides (SSS) A B 4. Two sides and their included angle (SAS) c The first two cases use Law of Sines, the last two will use the Law of Cosines.

  2. Notes Over 8.1 Law of Sines If ABC is a triangle with sides a, b, c, then according to the law of sines, or

  3. Notes Over 8.1 The AAS or ASA Case Solve ∆ABC Find:

  4. Notes Over 8.1 The AAS or ASA Case Solve ∆ABC Find:

  5. Notes Over 8.1 The Ambiguous Case (SSA) Consider a triangle where you are given a, b, and A A is acute If the height of the triangle h were equal to a, then it would be a right triangle. a b a a a h a A If a < h, then there would be no triangle. If a > b, then there would be one triangle. If h < a < b, then there would be two triangles.

  6. Notes Over 8.1 The SSA Case – One Triangle Solve ∆ABC Since a > c, one triangle. Find:

  7. Notes Over 8.1 The SSA Case – Two Triangles Solve ∆ABC Find h. Since a < h, no triangle.

  8. Notes Over 8.1 The SSA Case – Two Triangles Solve ∆ABC Find h. Since h < a < b, two triangles

  9. Notes Over 8.1 Area of an Oblique Triangle For any triangle, given two sides and the included angle • Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an included angle of 102o.

  10. Notes Over 8.1 Pg. 588, 8.1 #1-18 all

More Related