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one pair of parallel sides – a trapezium (τραπέζιον), divided into isosceles (equal legs) and scalene (unequal) trapezia; no parallel sides – trapezoid (τραπεζοειδή, trapezoeidé, literally 'trapezium-like' (εἶδος means 'resembles'), in the same way as cuboid means 'cube-like' and rhomboid means 'rhombus-like')
The class of trapezoid graphs properly contains the union of interval and permutation graphs and is equivalent to the incomparability graphs of partially ordered sets having interval order dimension at most two. Permutation graphs can be seen as the special case of trapezoid graphs when every trapezoid has zero area.
Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.
One direct application is in deriving the formula for the area of a trapezoid. The area can be calculated as the product of the median and the height (the perpendicular distance between the bases): Area = E F × Height {\displaystyle {\text{Area}}=EF\times {\text{Height}}}
The formula for the area of a trapezoid can be simplified using Pitot's theorem to get a formula for the area of a tangential trapezoid. If the bases have lengths a, b, and any one of the other two sides has length c, then the area K is given by the formula [2] (This formula can be used only in cases where the bases are parallel.)
Usually, there is a pattern of even distribution of marks on the chart, a phenomenon that is known as vowel dispersion. For most languages, the vowel system is triangular. Only 10% of languages, including English, have a vowel diagram that is quadrilateral. Such a diagram is called a vowel quadrilateral or a vowel trapezium. [2]
It is a direct consequence of the area inequality [38]: p.114 where K is the area of a convex quadrilateral with perimeter L. Equality holds if and only if the quadrilateral is a square. The dual theorem states that of all quadrilaterals with a given area, the square has the shortest perimeter.
Trapezium, plural trapezia, may refer to: Trapezium, in British and other forms of English, a trapezoid , a quadrilateral that has exactly one pair of parallel sides Trapezium, in North American English, an irregular quadrilateral with no sides parallel