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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 |
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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 |
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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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