Cathetus in the context of "Hypotenuse"

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⭐ Core Definition: Cathetus

In a right triangle, a cathetus (originally from Greek κάθετος, "perpendicular"; plural: catheti), commonly known as a leg, is either of the sides that are adjacent to the right angle. It is occasionally called a "side about the right angle". The side opposite the right angle is the hypotenuse. In the context of the hypotenuse, the catheti are sometimes referred to simply as "the other two sides".

If the catheti of a right triangle have equal lengths, the triangle is isosceles. If they have different lengths, a distinction can be made between the minor (shorter) and major (longer) cathetus. The ratio of the lengths of the catheti defines the trigonometric functions tangent and cotangent of the acute angles in the triangle: the ratio is the tangent of the acute angle adjacent to and is also the cotangent of the acute angle adjacent to .

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Cathetus in the context of Right triangle

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (14 turn or 90 degrees).

The side opposite to the right angle is called the hypotenuse (side in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus). Side may be identified as the side adjacent to angle and opposite (or opposed to) angle while side is the side adjacent to angle and opposite angle

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