A trapezium is a quadrilateral, which is defined as a shape with four sides, which has one set of
parallel sides as shown in the figure below.
Properties of a Trapezium
- The bases of the trapezium are parallel to each other (AB ⫽ CD).
- No sides, angles and diagonals are congruent.
Important Formulas for a Trapezium
- Area = (1/2) h (AB+CD)
- Perimeter = AB+BC+CD+DA
Following is the derivation for computing the area of the trapezium:
The area of a trapezoid is equal to the sum of the areas of the two triangles and the area of the rectangle.
We know that
area of trapezoid = area of triangle 1 + area of rectangle + area of triangle 2.
which means that .
Substituting the values we have
Therefore the area of a trapezoid with base
and altitude h is,
The concept is a highly used concept in various physics computations and other mathematical calculations. This is the basis for obtaining the equations of motions as described in the 9th CBSE science textbook .
The blend of the physics equations and mathematical calculations is very well explained to clear the level of understanding of a budding engineering mind. For the complete understanding and concept clearance from the Byju’s one must go through the following worksheet to check their hands on the concept and test learning.