Calculation of the area of the trapezoid

Trapezoid is a convex quadrilateral with two sides parallel. Often a condition is added to the definition of a trapezoid that the other two sides should not be parallel. Parallel opposite sides are called trapezoid bases, and the other two are called sides. The middle line is a segment connecting the midpoints of the sides. Here are ways to find the area, suitable for all types of trapezoid.

Trapezoid area through bases and height

Base of the trapezoid а
Base of the trapezoid b
Trapezium height h

Area of the trapezoid through the midline and height

Middle line m
Trapezium height h

Trapezoid area across sides

Side a
Side b
Side c
СSide d

The area of the trapezoid through the diagonals and the angle between them

Diagonal d1
Diagonal d2
Angle between diagonals α

Area of the trapezoid through the bases and corners of the base

Base of the trapezoid a
Base of the trapezoid b
Angle α
Angle β