Diagonal of Trapezium
Trapezium is a special type of quadrilateral; thus, trapezium also have two diagonals. The diagonals of a trapezium do not have equal lengths, unlike in some other quadrilaterals such as rectangles or parallelograms. Diagonals of trapezium do not have equal lengths and the lengths of the diagonals depend on the lengths of the bases and the angles of the trapezium.
Example: For an isosceles trapezium ABCD, the base angle ∠A is 80° then find the other angle ∠C.
We know that for an Isosceles Trapezium ABCD,
(∠A + ∠C) = 180°
Given, ∠A = 80°
Now, 80° + ∠C = 180°
∠C = 180 – 80
∠C = 100°
Thus, Required Angle ∠C is 100°
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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