1 / 0

ET 6.2 Law of Cosines

You will not know a side & its corresponding angle. ET 6.2 Law of Cosines. ET 6.1. Today we will only be looking at the case SSS & ASA . You will notice this will not give you an angle with its’ corresponding side. In future problems this is your cue to use law of cosines.

jud
Download Presentation

ET 6.2 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. You will not know a side & its corresponding angle.

    ET 6.2Law of Cosines

  2. ET 6.1 Today we will only be looking at the case SSS & ASA . You will notice this will not give you an angle with its’ corresponding side. In future problems this is your cue to use law of cosines. When given SSS or ASA there is not the potentially for more than one possible triangle that can be drawn. Caution: When using the Law of Cosines and then switch to Law of Sines to find additional angles, you will need to check for the “another possilbe angle”. Only one of the angles will work, however it is not necessarily the first one you find. You can avoid this by just using Law of Cosines to find subsequent angles. Two other parts Angle Side Beware of the buns

    Oblique Triangles – Triangles that do not have a right angle.

    SAS Two other parts Side Side SSS To solve an oblique triangle, you need to know the measure of at least one side and two other parts of the triangle. Two other parts Angle Angle AAS ASA
  3. Solve the TriangleGiven a = 8, b=19, c=14
  4. Given a = 8, b=19, c=14 Tempted to use law of sines to find B? Let’s see what happens. So, which B is it? There is only one triangle that is possible when given SSS. We could use the geometry idea that the largest side must correspond to the largest angle and eliminate 63°. OR …. Or we could use the law of cosines formula to find B and avoid this dilemma all together.
  5. Given a = 8, b=19, c=14
  6. Solve the TriangleGiven b=15, c=10, A=115 degrees
  7. Given b=15, c=10, A=115 degrees
  8. Assignments 6.2 Day 1: 1, 3, 11, 17 Day 2: 23-27 odd Heron’s Area Formulas & Trig Area Formula 39, 48
  9. ET 6.2b: Find the area of the triangle.
  10. Finding Area of a Triangle.
  11. Find the area of the triangle. C(0, 8) A(-3, 2) B(4, 0)
  12. Find the area of the triangle. C(0, 8) A(-3, 2) B(4, 0)
  13. Assignments 6.2 Day 1: 1, 3, 11, 17 Day 2: 23-27 odd Heron’s Area Formulas & Trig Area Formula 39, 48
More Related