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trapezium

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trapezium

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A trapezium is a four-sided plane figure with two of its sides parallel.

In geometry, a quadrilateral (a shape with four sides) with two of its sides parallel. If the parallel sides have lengths a and b and the perpendicular distance between them is h (the height of the trapezium), its area A = 1/2h(a + b).

An isosceles trapezium has its sloping sides equal, is symmetrical about a line drawn through the midpoints of its parallel sides, and has equal base angles:

The area of a trapezium is calculated by splitting the trapezium diagonally into two triangles, so A = 1/2ha + 1/2hb = 1/2h(a + b).

For example, to find the area of a trapezium with parallel sides of 3 cm and 6 cm, 2 cm apart:

A = 1/2 × 2(3 + 6) = 9 cm2



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Let the reader picture to himself a series of visages presenting successively all geometrical forms, from the triangle to the trapezium, from the cone to the polyhedron; all human expressions, from wrath to lewdness; all ages, from the wrinkles of the new-born babe to the wrinkles of the aged and dying; all religious phantasmagories, from Faun to Beelzebub; all animal profiles, from the maw to the beak, from the jowl to the muzzle.
Notre-Dame de Paris by Hugo, Victor View in context
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