Solving Right Triangles

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Presentation transcript:

Solving Right Triangles Geometry Right Triangles Lesson 6

Solving Right Triangles – Notes x 𝐬𝐢𝐧 𝟒𝟐= 𝒙 𝟐𝟓 𝐭𝐚𝐧 𝟕𝟓= 𝟏𝟐 𝒙 When _____ is high, you ______________! When ____ is low, _______________ it, yo! O A H A (𝟐𝟓)(𝐬𝐢𝐧 𝟒𝟐)=𝒙 𝒙 = 𝟏𝟐 𝐭𝐚𝐧 𝟕𝟓 H multiply O x O H divide H A 𝐜𝐨𝐬 𝟑𝟔= 𝟏𝟗 𝒙 O A 𝐭𝐚𝐧 𝟓𝟑= 𝒙 𝟕 𝒙 = 𝟏𝟗 𝐜𝐨𝐬 𝟑𝟔 (𝟕)(𝐭𝐚𝐧 𝟓𝟑)=𝒙

Solving Right Triangles – Notes 𝐭𝐚𝐧 𝒙= 𝟗 𝟐𝟎 𝐜𝐨𝐬 𝒙= 𝟏𝟕 𝟑𝟐 A O H tan −𝟏 𝟗 𝟐𝟎 Go ________! cos −𝟏 𝟏𝟕 𝟑𝟐 H O A blue A H O 𝐭𝐚𝐧 𝒙= 𝟏𝟑 𝟏𝟖 A 𝐬𝐢𝐧 𝒙= 𝟐𝟏 𝟐𝟖 H O sin −𝟏 𝟐𝟏 𝟐𝟖 tan −𝟏 𝟏𝟑 𝟏𝟖

Solving Right Triangles – Notes missing pieces Pythagorean Theorem Triangle Angle Sum