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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.

Presentation on theme: "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."— Presentation transcript:

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 3, 4, 5 5, 12, 13 7, 24, 25 8, 15, 17

a 2 + b 2 = c 2 right triangle a 2 + b 2 ⟨ c 2 obtuse triangle a 2 + b 2 ⟩ c 2 acute triangle

Chapter 8.2 Common Core G.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

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

30° - 60 ° - 90 ° Triangles

Chapter 8.3 Common Core G.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.

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

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

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

Chapter 8.5 Common Core G.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.

Chapter 8.5 Notes

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.

Chapter 8.6 Notes

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