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Geometry Unit 8 Holt McDougal
Vocabularygeometric 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 & Postulatestheorem 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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