A trapezium is a geometric shape that is commonly studied in mathematics. It is a four-sided polygon that has two parallel sides and two non-parallel sides. The parallel sides are referred to as the bases of the trapezium, and the non-parallel sides are called the legs. Trapeziums are often classified as isosceles or non-isosceles, depending on whether or not the legs are of equal length. One interesting property of trapeziums is that they can be used to calculate the area of irregular shapes. By dividing a complex shape into smaller trapeziums, the area of the shape can be approximated. This technique is commonly used in surveying and architecture. Trapeziums also have applications in physics and engineering. For example, the shape of a trapezium can be used to calculate the force required to move an object up an inclined plane. In addition, trapeziums can be used to calculate the volume of certain three-dimensional shapes, such as frustums (a shape formed by cutting the top off a cone). Overall, trapeziums are a fundamental shape in geometry with a wide range of applications in various fields. Their properties and formulas make them a useful tool for solving complex problems in mathematics, physics, and engineering.
polygon, parallel, legs, isosceles, area, irregular shapes, surveying, architecture, physics, engineering, force, inclined plane, volume, frustum
A trapezium is a four-sided polygon that includes two parallel sides. It is a quadrilateral with at least one pair of parallel sides, and the other two sides are non-parallel. Trapeziums are often considered isosceles if two of the non-parallel sides are equal in length. Trapeziums can be divided into right trapeziums, which have two right angles, and scalene trapeziums, which have no right angles. In order to calculate the area of a trapezium, the formula A = 1/2h(a+b) is used, where h is the height and a and b are the lengths of the two parallel sides. The angles of a trapezium can also be calculated using trigonometric functions.
Quadrilateral, Parallel, Isosceles, Formula, Area
CITATION : "Kenneth Harris. 'Trapezium.' Design+Encyclopedia. https://design-encyclopedia.com/?E=245986 (Accessed on June 29, 2025)"
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