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A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle).

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If A is an angle in standard position, its reference angle Ar is the acute angle formed by the x axis and the terminal side of angle .

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The side next to the given angle that is not the hypotenuse is named the adjacent side.

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The side opposite the given angle is named the opposite side.

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The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, the hypotenuse equals the sum of the squares of the lengths of the other two sides.

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The "Unit Circle" is a circle with a radius of 1.

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The "Unit Circle" is a circle with a radius of 1.

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The square of the hypotenuse is equal to
the sum of the squares of the other two sides.

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The tangent of an angle is
The length of the opposite side divided by the length of the adjacent side.
tan θ = opposite / adjacent

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In a right angled triangle, the cosine of an angle is:
The length of the adjacent side divided by the length of the hypotenuse.
cos θ = adjacent / hypotenuse.

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The ratio of the side opposite a given acute angle to the hypotenuse.