Geometry Right Triangles Lesson 3

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Presentation transcript:

Geometry Right Triangles Lesson 3 Trigonometry Intro Geometry Right Triangles Lesson 3

Anticipatory

Trigonometry Intro - Notes The study of triangle measurement

Trigonometry Intro - Notes 𝒂 𝒄 𝒃 𝒄 𝒃 𝒄 𝒂 𝒄 𝒂 𝒃 𝒃 𝒂

Trigonometry Intro - Notes C 𝑨 𝑯 T 𝑶 𝑨 opp adj opp hyp hyp adj Angle Side ratios

Class Example 1 Adjacent Opposite Hypotenuse Label O, A, and H. The adjacent is ALWAYS touching the Given Angle. Class Example 1 Adjacent This is the angle you are Given. Label O, A, and H. Opposite The opposite is ALWAYS across from the Given Angle. Hypotenuse The hypotenuse is ALWAYS across from the Right Angle.

Class Example 2 S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨 Adjacent Opposite Which Trig Ratio could you use to find the missing angle measure? Given Angle. Opposite S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨

Class Example 3 S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨 Hypotenuse Opposite 𝐬𝐢𝐧 𝟕𝟑= 𝒙 𝟏𝟏 Set up a trig equation to solve for x. Given Angle. S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨 𝐬𝐢𝐧 𝟕𝟑= 𝒙 𝟏𝟏

Student Example 1 Label O, A, and H.

Student Example 2 S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨 Which Trig Ratio could you use to find the missing angle measure? S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨

Student Example 3 S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨 Set up a trig equation to solve for x. S 𝑶 𝑯 C 𝑨 𝑯 T 𝑶 𝑨