Hypotenuse
The hypotenuse is a term used in geometry, specifically in right triangles
The hypotenuse is a term used in geometry, specifically in right triangles. It refers to the side opposite the right angle. In any right triangle, the longest side is always the hypotenuse. It is also the side that connects the other two sides, known as the legs, to form the right angle.
The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The formula is commonly written as:
c^2 = a^2 + b^2
Where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
The Pythagorean theorem is a fundamental concept in mathematics and has various applications in fields such as physics, engineering, and architecture. It helps determine unknown side lengths in right triangles and plays a vital role in trigonometry, where the ratios of the sides (sine, cosine, tangent) depend on the lengths of the sides, including the hypotenuse.
In summary, the hypotenuse is the longest side of a right triangle, opposite the right angle, and it can be found using the Pythagorean theorem.
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