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Geometry Unit 8 Cheat Sheet by CCRoses

Geometry Unit 8 Holt McDougal

Vocabulary

 geometric mean the positive square root of the product of two numbers trigon­ometric ratio a ratio of two sides of a right triangle angle of elevation the angle formed by a horizontal line and a line of sight to a point above the line angle of depression the angle formed by a horizontal line and a line of sight to a point below the line

Theorems & Postulates

 theorem 8-1-1 the altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle the law of sines for any triangle ABC with side lengths a, b, and c, sinA/a = sinB/b = sinC/c the law of cosines for any triangle ABC with side lengths a, b, and c, a2 = b2 + c2 -2bc cosA, b2 = a2 + c2 -2ac cosB, and c2 = a2 + b2 -2ab cosC

Trigon­ometric Ratios (SOHCA­HTOA)

 sine the ratio of the length of the leg opposite the angle to the length of the hypotenuse sin = opposi­te/­hyp­otenuse cosine the ratio of the length of the leg adjacent to the angle to to the length of the hypotenuse cos = adjace­nt/­hyp­otenuse tangent the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle tan = apposi­te/­adj­acent

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