Kite

Definition

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

Kite

Properties

Properties of a Kite
  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 of a Kite

E.g. 1) Find the area of a kite whose diagonals are 10 m and 15 m.

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 of a Kite

E.g. 2) Find the perimeter of a kite whose side lengths are 8 cm and 14 cm.

As we know,

Perimeter (P) = 2(a + b), here a = 8 cm, b = 14 cm

 = 2(8 + 14) cm

= 44 cm

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