Vocab, Theorems and Postulates from chapter 8
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Created by:
sydneyclark on March 16, 2011
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17 terms
Terms | Definitions |
|---|---|
 Pythagorean theorem | In a right triangle, the sum of the squares of the legs is equal to the length of the hypotenuse squared. a²+b²=c² |
| Pythagorean triple | a set of nonzero whole #'s a, b, and c that satisfy the equation a²+b²=c² |
| Converse of the pythagorean theorem | if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. |
| 45-45-90 | A triangle where both legs are congruent and the length of the hypotenuse is √2 times the length of a leg. |
| 30-60-90 | A triangle where the length of the hypotenuse is twice the length of the shorter leg and the length of the longer leg is √3 times the length of the shorter leg. |
| tangent | opposite/adjacent |
| sine | opposite/hypotenuse |
| cosine | adjacent/hypotenuse |
| identity | a type of equation that is true for all the allowed values of the variable. |
| angle of elevation | the angle formed by a horizontal line and the line of sight to an object above the horizontal line |
| angle of depression | the angle formed by a horizontal line and the line of sight to an object below the horizontal line |
| vector | any quantity with magnitude and direction |
| magnitude | corresponds to the distance from an initial point to the terminal point |
| initial point | one point of a vector |
| terminal point | second point of a vector |
| resultant | the sum of two vectors |
| adding vectors property | <x₁+x₂ , y₁+y₂> |
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