# 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**