Trapezoid
A quadrilateral with exactly one pair of parallel sides
A trapezoid is a quadrilateral that has one pair of opposite sides parallel and the other pair non-parallel. It is also known as a trapezium in some countries. The parallel sides are called bases, and the non-parallel sides are called legs. The height of a trapezoid is the perpendicular distance between the bases.
Formula for the Area of a Trapezoid:
The formula for the area of a trapezoid is given by:
Area = ((b1 + b2)/2) × h
Where,
b1 and b2 are the lengths of the parallel sides or bases of the trapezoid
h is the height of the trapezoid perpendicular to the bases
Formula for the Perimeter of a Trapezoid:
The perimeter of a trapezoid is the sum of the lengths of its four sides.
Perimeter = a + b1 + c + b2
Where,
a and c are the lengths of the non-parallel sides or legs
b1 and b2 are the lengths of the parallel sides or bases of the trapezoid
Examples of Trapezoids:
Some examples of trapezoids include:
– Road signs with a trapezoidal shape
– Tables, shelves, or bookcases with a trapezoidal top or bottom surface
– Pyramids with a trapezoidal base
– Stadiums and sports arenas with a trapezoidal field shape.
Properties of Trapezoids:
1. A trapezoid has only one pair of parallel sides.
2. The opposite angles are supplementary, meaning they add up to 180 degrees.
3. The diagonals of a trapezoid intersect each other at the midpoint of the trapezoid.
4. The length of the median of a trapezoid is equal to half the sum of the lengths of the bases.
More Answers:
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Mastering the Properties and Formulas of Parallelograms: A Comprehensive Guide