Hypotenuse
The hypotenuse is a term used in geometry to refer to the longest side of a right triangle
The hypotenuse is a term used in geometry to refer to the longest side of a right triangle. A right triangle is a triangle that has one angle measuring exactly 90 degrees (a right angle). The hypotenuse is always opposite the right angle.
In a right triangle, the hypotenuse is the side that is opposite the right angle and connects the two other sides, called the legs. The hypotenuse is opposite the largest angle in a right triangle and is also the longest side.
The length of the hypotenuse can be calculated using the Pythagorean Theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. The formula for the Pythagorean Theorem is given as:
c^2 = a^2 + b^2
where c represents the length of the hypotenuse, and a and b represent the lengths of the legs.
The hypotenuse is an important concept in trigonometry, as it is used to calculate the sine, cosine, and tangent of angles in a right triangle. These trigonometric functions are defined as ratios of the sides of a right triangle and are widely used in various fields such as physics, engineering, and architecture.
In summary, the hypotenuse is the longest side of a right triangle, opposite the right angle, and is calculated using the Pythagorean Theorem. It plays a crucial role in trigonometry and has practical applications in various mathematical and scientific disciplines.
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