Area of Trapezium Formula
Trapezium has two parallel sides a, and b units respectively, and its altitude is h.
Now area of trapezium can be calculated by finding the average of bases and multiplying its result by the altitude. Hence,
Area of Trapezium = ((a +b)/2) × h
where,
- a and b are Bases of Trapezium
- h is Altitude
Area of Isosceles Trapezium
Let a and b be the length of parallel sides of a trapezium ABCD, where a and b are the bases of the trapezium and a>b.
Now, as it is an Isosceles Trapezium c is the length of both the two non-parallel sides and h is the height of the trapezium.
Now, AB = a, CD = b, BC = AD = c
In Right Triangle, AED
Length of perpendicular, h = √(c2 – (a-b)2) [using Pythagoras Theorem]….(1)
Now,
Area = ½ × Sum of Parallel Sides × Height of Trapezium
Area = ½ × (a+b) × h
Using equation (1)
Area of Isosceles Trapezium = 1/2 × [√(c2 – (a-b)2) (a+b)]
Trapezium in Maths | Formulas, Properties & Examples
Trapezium in Maths: A Trapezium is a polygon with four sides, i.e. it is a quadrilateral. Trapezium originated from the Greek word “trapeze” which means table. It is a complex quadrilateral. A trapezium is a special quadrilateral with only one pair of parallel sides. A trapezium is a two-dimensional shape that appears as a table.
A trapezium has four sides and four vertices. We see the trapezium shape in our daily life and it is one of the most common shapes. In this article, we will learn about what is trapezium in maths, its properties, formulas, examples, and types of trapezium, along with some solved examples of it.
Table of Content
- What is a Trapezium in Maths?
- Types of Trapezium
- Irregular Trapezium
- Properties of Trapezium
- Trapezium Formula
- Area of Trapezium Formula
- Perimeter of Trapezium Formula
- Difference between Trapezium and Trapezoid
- Angles of Trapezium
- Diagonal of Trapezium
- Trapezium Examples
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