1 / 16

Chapter 8.6

Chapter 8.6. The Law of Sines and Law of Cosines. Concept. Example 1. Law of Sines (AAS or ASA). Find p. Round to the nearest tenth. We are given measures of two angles and a nonincluded side, so use the Law of Sines to write a proportion. Example 1. Find c to the nearest tenth.

jenny
Télécharger la présentation

Chapter 8.6

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. Chapter 8.6 The Law of Sines and Law of Cosines

  2. Concept

  3. Example 1 Law of Sines (AAS or ASA) Find p. Round to the nearest tenth. We are given measures of two angles and a nonincluded side, so use the Law of Sines to write a proportion.

  4. Example 1 Find c to the nearest tenth. A. 4.6 B. 29.9 C. 7.8 D. 8.5

  5. 6 57° x Example 2 Law of Sines (ASA) Find x. Round to the nearest tenth.

  6. x 43° Example 2 Find x. Round to the nearest degree. A. 8 B. 10 C. 12 D. 14

  7. Concept

  8. Example 3 Law of Cosines (SAS) Find x. Round to the nearest tenth. Use the Law of Cosines since the measures of two sides and the included angle are known.

  9. Example 3 Find r if s = 15, t = 32, and mR = 40. Round to the nearest tenth. A. 25.1 B. 44.5 C. 22.7 D. 21.1

  10. Example 4 Law of Cosines (SSS) Find mL. Round to the nearest degree. Law of Cosines Simplify.

  11. Example 4 Find mP. Round to the nearest degree. A. 44° B. 51° C. 56° D. 69°

  12. Example 5 Indirect Measurement AIRCRAFT From the diagram of the plane shown, determine the approximate width of each wing. Round to the nearest tenth meter.

  13. The rear side window of a station wagon has the shape shown in the figure. Find the perimeter of the window if the length of DB is 31 inches. Round to the nearest tenth. Example 5 A. 93.5 in. B. 103.5 in. C. 96.7 in. D. 88.8 in.

  14. Example 6 Solve a Triangle Solve triangle PQR. Round to the nearest degree. Since the measures of three sides are given (SSS), use the Law of Cosines to find mP. p2 = r2 + q2 – 2pq cos P Law of Cosines 82 = 92 + 72 – 2(9)(7) cos P p = 8, r = 9, and q = 7

  15. Example 6 Solve ΔRST. Round to the nearest degree. A.mR = 82, mS = 58, mT = 40 B.mR = 58, mS = 82, mT = 40 C.mR = 82, mS = 40, mT = 58 D.mR = 40, mS = 58, mT = 82

  16. Concept

More Related