Trapezoid

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The height of a trapezoid is the perpendicular distance between the two bases.

Formulas

Here are some important formulas related to trapezoids:

• Area of a trapezoid: A = ((b1 + b2) * h) / 2
• Where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
• Perimeter of a trapezoid: P = a + b1 + b2 + c
• Where P is the perimeter, a, b1, b2, and c are the lengths of the four sides.

Properties

Some important properties of trapezoids include:

• One pair of opposite sides are parallel.
• The angles on the same base of a trapezoid are supplementary (add up to 180 degrees).
• The diagonals of a trapezoid are not necessarily equal in length.

Examples

Here are some examples of trapezoids: