What Is Kite In Maths?
Mathematics is a fascinating subject that involves a lot of shapes and figures. One such shape is a kite. In this article, we will discuss what a kite is in maths, its properties, and its applications.
Definition of Kite
A kite is a four-sided polygon that has two pairs of adjacent sides that are equal in length. In other words, a kite is a quadrilateral with two pairs of adjacent sides that are congruent, and the diagonals intersect at right angles.
Properties of Kite
Here are some essential properties of kite:
- A kite has two pairs of adjacent sides that are equal in length, making it a convex quadrilateral.
- The diagonals of a kite are perpendicular to each other.
- One diagonal of a kite divides it into two congruent triangles.
- The other diagonal of a kite bisects the other diagonal and divides the kite into two congruent triangles.
- Adjacent angles of a kite are supplementary.
Types of Kite
There are two types of kite:
- Orthodiagonal Kite: An orthodiagonal kite is a kite whose diagonals are perpendicular to each other.
- Non-Orthodiagonal Kite: A non-orthodiagonal kite is a kite whose diagonals are not perpendicular to each other.
Real-World Applications of Kite
Here are some real-world applications of kite:
- Kites are used in aerodynamics to study the flow of air over surfaces.
- Kites are used for recreational purposes, such as kite-flying competitions and kite festivals.
- Kites are used in advertising to promote brands and products.
How to Calculate the Area of a Kite?
The area of a kite can be calculated using the following formula:
Area of Kite = (Product of Diagonals) / 2
For example, if the diagonals of a kite are 8 cm and 10 cm, then the area of the kite can be calculated as:
Area of Kite = (8 x 10) / 2 = 40 cm2
How to Calculate the Perimeter of a Kite?
The perimeter of a kite can be calculated by adding the lengths of all its sides. For example, if the lengths of the sides of a kite are 6 cm, 8 cm, 6 cm, and 10 cm, then the perimeter of the kite can be calculated as:
Perimeter of Kite = 6 + 8 + 6 + 10 = 30 cm
Examples of Kite
Here are some examples of kite:
- A kite flown in the sky.
- A kite-shaped diamond ring.
- A kite-shaped logo of a company.
Conclusion
In conclusion, a kite is a four-sided polygon that has two pairs of adjacent sides that are equal in length. It has many properties, types, and real-world applications. It is an exciting shape that has captured the imagination of people for centuries.
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