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17 terms

Vocab, Theorems and Postulates from chapter 8

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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>