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Special Right Triangles definitions
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45-45-90 Triangle
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45-45-90 Triangle
A right triangle with two equal legs and a hypotenuse equal to the leg length times the square root of 2.
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Special Right Triangles quiz #1
Special Right Triangles
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3 문제점
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이 집합의 용어 (15)
하이드의 정의
45-45-90 Triangle
A right triangle with two equal legs and a hypotenuse equal to the leg length times the square root of 2.
30-60-90 Triangle
A right triangle with side lengths in the ratio: short leg, short leg times square root of 3, and short leg times 2.
Hypotenuse
The longest side in a right triangle, directly opposite the right angle and determined by triangle-specific shortcuts.
Leg
One of the two sides forming the right angle in a triangle; in special cases, its length defines all other sides.
Short Leg
The smallest side in a 30-60-90 triangle, used as the basis for calculating the other two sides.
Long Leg
The side in a 30-60-90 triangle opposite the 60-degree angle, equal to the short leg times the square root of 3.
Square Root of 2
A constant used to relate the legs and hypotenuse in a 45-45-90 triangle, simplifying calculations.
Square Root of 3
A constant used to relate the short leg and long leg in a 30-60-90 triangle, essential for side calculations.
Sine
A trigonometric function representing the ratio of the side opposite an angle to the hypotenuse.
Cosine
A trigonometric function representing the ratio of the side adjacent to an angle to the hypotenuse.
Tangent
A trigonometric function representing the ratio of the side opposite an angle to the side adjacent to it.
Cosecant
A reciprocal trigonometric function, equal to one divided by sine, often simplified in special triangles.
Secant
A reciprocal trigonometric function, equal to one divided by cosine, with predictable values in special triangles.
Cotangent
A reciprocal trigonometric function, equal to one divided by tangent, showing symmetry in special triangles.
Reciprocal Identity
A relationship where a trigonometric function is inverted, leading to simplified values in special right triangles.