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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

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Pythagorean triple

a set of nonzero whole #'s a, b, and c that satisfy the equation a²+b²=c²

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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.

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45-45-90

A triangle where both legs are congruent and the length of the hypotenuse is √2 times the length of a leg.

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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.

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tangent

opposite/adjacent

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cosine

adjacent/hypotenuse

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identity

a type of equation that is true for all the allowed values of the variable.

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angle of elevation

the angle formed by a horizontal line and the line of sight to an object above the horizontal line

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angle of depression

the angle formed by a horizontal line and the line of sight to an object below the horizontal line

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vector

any quantity with magnitude and direction

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magnitude

corresponds to the distance from an initial point to the terminal point

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initial point

one point of a vector

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terminal point

second point of a vector

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resultant

the sum of two vectors

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adding vectors property

<x₁+x₂ , y₁+y₂>

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