Formulas for Trapezoid aka Trapezium
Area of Trapezoid
The area A of a trapezoid is given by the formula:
Area = (a + b) * h / 2
Where a and b are the lengths of the two parallel sides (bases) and h is the height.
Trapezoid Calculator
Isosceles Trapezoid
Scalene Trapezoid
Right Trapezoid
Perimeter of Trapezoid
The perimeter P of a trapezoid is the sum of all its side lengths:
Perimeter = a + b + c + d
Where a and b are the lengths of the parallel sides and c and d are the lengths of the non-parallel sides.
Height of Trapezoid
The height h of a trapezoid can be calculated using the area A and the lengths of its bases a and b with the formula:
Height = 2A / (a + b)
Midsegment of Trapezoid
The midsegment m of a trapezoid is the segment that connects the midpoints of the two legs. Its length can be calculated as:
Midsegment = (a + b) / 2
Angles of Trapezoid
In a trapezoid, the angles at the bases (a and b) are called the base angles, and the angles formed by the legs (c and d) are called the leg angles.
The sum of the base angles and the sum of the leg angles in a trapezoid are equal.
Diagonals of Trapezoid
A trapezoid has two diagonals, one connecting the non-parallel sides (c and d) and the other connecting the midpoints of the two bases (a and b).
The lengths of the diagonals can be calculated using the Pythagorean theorem and the lengths of the sides.
Other Properties
- The two non-parallel sides c and d are called the legs of the trapezoid.
- The midsegment m of a trapezoid is the segment that connects the midpoints of the two legs. Its length can be calculated as m = (a + b) / 2.
