1 / 15

Chapter 8.1

Chapter 8.1. Common Core G.SRT.8 & G.SRT.4 – Use…Pythagorean Theorem to solve right triangles in applied problems. Objective – To use the Pythagorean Theorem and its converse. Chapter 8.1 Notes. Pythagorean Thm – a 2 + b 2 = c 2 Pythagorean Triple – have to be natural numbers

barclay-hodge
Télécharger la présentation

Chapter 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. Chapter 8.1 Common CoreG.SRT.8 & G.SRT.4 – Use…Pythagorean Theorem to solve right triangles in applied problems. Objective – To use the Pythagorean Theorem and its converse.

  2. Chapter 8.1 Notes Pythagorean Thm – a2 + b2 = c2 Pythagorean Triple – have to be natural numbers 3, 4, 5 5, 12, 13 7, 24, 25 8, 15, 17

  3. a2 + b2 = c2 right triangle a2 + b2⟨ c2 obtuse triangle a2 + b2⟩ c2 acute triangle

  4. Chapter 8.2 Common CoreG.SRT.8– Use…Pythagorean Theorem to solve right triangles in applied problems. Objective – to use the properties of 45-45-90 and 30-60-90 degree triangles

  5. Chapter 8.2 Notes 45° - 45 ° - 90 ° Triangles

  6. 30° - 60 ° - 90 ° Triangles

  7. Chapter 8.3 Common CoreG.SRT.8, G.MG.1, & G.SRT.7– Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Use geometric shape, their measures, and their properties to describe objects. Objective – To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles.

  8. Chapter 8.3 Notes Trigonometric Ratios SOH-CAH-TOA Sin ∠ = _______ Cos ∠ = _______ Tan ∠ = _______

  9. Trigonometric Ratios Csc∠ = _______ = _______ Sin ∠ = Sec ∠ = _______ = _______ Cos ∠ = Cot ∠ = _______ = _______ Tan ∠ =

  10. Chapter 8.4 Common CoreG.SRT.8– Use trigonometric ratios…to solve right triangles in applied problems. Objective – To use angles of elevation and depression to solve problems.

  11. Chapter 8.4 Notes Angle of Elevation Angle of Depression These angles are always made from a horizontal line

  12. Chapter 8.5 Common CoreG.SRT.11 & G.SRT.10– Understand and apply the Law of Sines…to find unknown measurements in right an non-right triangles… Objective – To apply the Law of Sines.

  13. Chapter 8.5 Notes Law of Sine C b a A c B

  14. Chapter 8.6 Common Core G.SRT.11 & G.SRT.10 – Understand and apply the Law of Cosine…to find unknown measurements in right an non-right triangles… Objective – To apply the Law of Cosine.

  15. Chapter 8.6 Notes Law of Cosine + - 2bc Cos A + - 2acCos B + - 2abCos C C b a A c B

More Related