Kite

Definition

A kite is a quadrilateral having closed, flat geometric shape and whose pairs of adjacent sides are equal. 

Properties

1. Has two pairs of adjacent equal sides; in kite ABCD, AB = DA and BC = CD
2. The two opposite angles where the adjacent unequal sides meet are equal; so ∠ABC = ∠CDA, here AB, BC and CD, DA are two pairs of adjacent unequal sides
3. The two diagonals are perpendicular to each other with the longer diagonal bisecting the shorter one; here AC = longer diagonal and BD = shorter diagonal

A kite can be a rhombus with four equal sides or a square having four equal sides and each angle measuring 90°.

Types of Kite

1. Convex: All its interior angles measure less than 180°.
2. Concave: One interior angle is greater than 180°. A dart or an arrowhead is a concave kite.

Formulas

Area

The total space enclosed by the kite. The formula is given below:

Area (A) = (d₁ × d₂)/2, here d₁ and d₂ are diagonals

Find the area of a kite whose diagonals are 10 m and 15 m.

Solution:

As we know,
Area (A) = (d₁ × d₂)/2, here d₁ = 10 m, and d₂ = 15 cm
 = (10 x 15)/2 m²
= 75 m²

Perimeter

The total distance covered around the edge of the kite. The formula is given below:

Perimeter (P) = 2(a + b), here a and b are side lengths

Find the perimeter of a kite whose side lengths are 8 cm and 14 cm.

Solution:

As we know,
Perimeter (P) = 2(a + b), here a = 8 cm, b = 14 cm
 = 2(8 + 14) cm
= 44 cm

• More Resources
  • Area of a Kite
  • Perimeter of Kite