Images Of A Trapezium

April 13, 2023 Posting Komentar

Properties of a trapezium or trapezoid (math facts) Owlcation from owlcation.com

Welcome to our article about images of a trapezium! In this article, we will discuss what a trapezium is, different types of trapeziums, and how to calculate the area and perimeter of a trapezium. We will also provide examples and images to help you better understand the topic. So, let's begin!

What is a Trapezium?

A trapezium is a four-sided polygon that has at least one pair of parallel sides. In some countries, it is also called a trapezoid. The parallel sides of a trapezium are called the bases, and the non-parallel sides are called the legs. The height of a trapezium is the perpendicular distance between the two bases.

Types of Trapeziums

There are two types of trapeziums: Isosceles Trapezium and Scalene Trapezium.

Isosceles Trapezium

An isosceles trapezium is a trapezium in which the non-parallel sides are equal in length. In other words, it has two pairs of equal adjacent angles and opposite sides.

Scalene Trapezium

A scalene trapezium is a trapezium in which none of the sides are equal in length. In other words, it has no pairs of equal adjacent angles or opposite sides.

Area of a Trapezium

The formula for the area of a trapezium is:

Area = ((a + b) x h) / 2

where:

a and b are the lengths of the parallel sides (the bases)

h is the height (the perpendicular distance between the bases)

Perimeter of a Trapezium

The perimeter of a trapezium is the sum of the lengths of all its sides. The formula for the perimeter of a trapezium is:

Perimeter = a + b + c + d

where:

a and b are the lengths of the parallel sides (the bases)

c and d are the lengths of the non-parallel sides (the legs)

Example

Let's say we have an isosceles trapezium with the following measurements:

Base a = 10 cm

Base b = 6 cm

Height h = 8 cm

Legs c and d = 5 cm

To calculate the area of the trapezium:

Area = ((10 + 6) x 8) / 2 = 64 cm²

To calculate the perimeter of the trapezium:

Perimeter = 10 + 6 + 5 + 5 = 26 cm

Conclusion

Images of a trapezium can help you better understand this four-sided polygon. Remember, a trapezium has at least one pair of parallel sides, and its area and perimeter can be calculated using the formulas provided. We hope this article has helped you gain a better understanding of trapeziums.

Thank you for reading!