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The area of a trapezium

Definition:

A trapezium is a quadrilateral (polygon with four sides), two sides of which are parallel, and the other two are non-parallel

Trapezium is a particular case of convex quadrilateral, having two opposite sides parallel and the other two are non-parallel. Parallel sides of a trapezium are called bases. The distance between those two bases is called trapezium’s height.

The scalene trapezium has those two non-parallel sides of different lengths and none of them form a right angle with the base.

The isosceles trapezium has those two sides are parallel and the other two are congruent; presents the property that the diagonals are congruent

The right trapezium has the one of the non-parallel sides is perpendicular on those two bases.

The area of a trapezium , is equal to the product of one half of the sum (parallel sides) and its height.

Computing relationship:

where:

a, b — the bases of trapezium;

h — the height of trapezium.

Calculator: the area of a trapezium


For separation of number integers and decimals, use the symbol – point [.]

the base of trapezium — a

the base of trapezium — b

the height of trapezium — h

 


the area of a trapezium =

 

 

context information: contemporary and archaic unit of measurement of area