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# Area of A Kite – Formulas, Methods & Examples

September 17, 2022

In geometry, the area of a plane 2D shape is the region covered by the sides of it (region bounded by the perimeter) in a two-dimensional plane. Or we can say that area of any shape is the number of unit squares that can fit into it. Here a unit square refers to a square of side $1$ unit. One good example is graph paper. By counting the number of squares in a region, you can find the area of that region.

Let’s learn about the area of a kite, its formula, and its properties.

## Kite – A 2D Plane Figure

A kite is a quadrilateral in which two pairs of adjacent sides are of equal length. No pair of sides in a kite are parallel but one pair of opposite angles are equal. The two diagonals are unequal and intersect at right angles. The longer diagonal of a kite bisects the shorter one.

## Properties of A Kite

Following are the characteristic features of a kite

• A kite has two pairs of adjacent equal sides. Here, $AC = BC$ and $AD = BD$
• It has one pair of opposite angles (obtuse) that are equal. Here, $\angle A = \angle B$
• The longer diagonal bisects the shorter one. Here, the diagonal $AB$, $AO = OB$
• The shorter diagonal forms two isosceles triangles. Here, diagonal $AB$ forms two isosceles triangles: $\triangle ACB$ and $\triangle ADB$. $AC = BC$ and $AD = BD$ in two isosceles triangles
• The longer diagonal forms two congruent triangles. Here, diagonal $CD$ forms two congruent triangles – $\triangle CAD$ and $\triangle CBD$ by $SSS$ criteria.
• The diagonals are perpendicular to each other. Here, $AB \perp CD$
• The longer diagonal bisects the pair of opposite angles. Here, $\angle ACD = \angle DCB$, and $\angle ADC = \angle CDB$