Hypotenuse
The term “hypotenuse” is a mathematical term commonly used in geometry and trigonometry to describe the longest side of a right triangle
The term “hypotenuse” is a mathematical term commonly used in geometry and trigonometry to describe the longest side of a right triangle. A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).
The hypotenuse is the side that is directly opposite the right angle and connects the two other sides of the triangle, known as the legs. It is always the longest side in a right triangle.
In a right triangle, the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the two legs. Mathematically, it is represented as:
c² = a² + b²
Where c represents the length of the hypotenuse, and a and b represent the lengths of the legs.
The hypotenuse is an essential concept in trigonometry, as it is used to define the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions relate the ratios of the sides of a right triangle to its angles.
In summary, the hypotenuse is the longest side of a right triangle and is directly opposite the right angle. Its length can be found using the Pythagorean theorem, and it plays a significant role in trigonometry.
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