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 NotesPythagorean Thm – a2 + b2 = c2

Pythagorean Triple – have to be natural numbers3, 4, 5 5, 12, 13 7, 24, 25 8, 15, 17

a2 + b2 = c2 right triangle

a2 + b2 ⟨ c2 obtuse triangle

a2 + b2 ⟩ c2 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 ∠ = _______

Trigonometric Ratios

Csc ∠ = _______ = _______ Sin ∠ = Sec ∠ = _______ = _______ Cos ∠ = Cot ∠ = _______ = _______ 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 NotesAngle 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

Law of Sine

C b a A c B

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

Law of Cosine+ - 2bc Cos A+ - 2ac Cos B+ - 2ab Cos C C b a A c B