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

Properties

Has two pairs of adjacent equal sides; in kite ABCD, AB = DA and BC = CD

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

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

Convex: All its interior angles measure less than 180°.

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) = (d_{1} × d_{2})/2, hered_{1} and d_{2} are diagonals

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

Solution:

As we know, Area (A) = (d_{1} × d_{2})/2, here d_{1} = 10 m, and d_{2 }= 15 cm = (10 x 15)/2 m^{2} = 75 m^{2}

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

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