It was so termed because its position is determined, in an Ionic (or voluted) capital, by a line let down from the point in which the volute generates. In architecture, the term cathetus has been used for the eye of the volute. The term leg, in addition to referring to a cathetus of a right triangle, is also used to refer to either of the equal sides of an isosceles triangle or to either of the non-parallel sides of a trapezoid. In a right triangle, the length of a cathetus is the geometric mean of the length of the adjacent segment cut by the altitude to the hypotenuse and the length of the whole hypotenuse.īy the Pythagorean theorem, the sum of the squares of the lengths of the catheti is equal to the square of the length of the hypotenuse. For a right triangle, the term leg generally refers to a side other than the one opposite the right angle (which. The ratio of the lengths of the catheti defines the trigonometric functions tangent and cotangent of the acute angles in the triangle: the ratio c 1 / c 2. If they have different lengths, a distinction can be made between the minor (shorter) and major (longer) cathetus. If the catheti of a right triangle have equal lengths, the triangle is isosceles. In the context of the hypotenuse, the catheti are sometimes referred to simply as "the other two sides". The side opposite the right angle is the hypotenuse. It is occasionally called a "side about the right angle". In a right triangle, a cathetus (originally from the Greek word Κάθετος plural: catheti), commonly known as a leg, is either of the sides that are adjacent to the right angle. If the hypotenuse and a single leg (HL) are proportional between two right triangles, the triangles have to be similar. A right-angled triangle where c 1 and c 2 are the catheti and h is the hypotenuse This article is about the geometric meaning.
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