Area of a Kite

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Year 8 Interactive Maths - Second Edition

Area of a Kite

A kite has two pairs of adjacent sides equal and one pair of opposite angles equal. Diagonals intersect at right angles. One diagonal is bisected by the other.

Consider the area of the following kite.

Diagonals of a kite cut one another at right angles as shown by diagonal AC bisecting diagonal BD.

Example 7

Find the area of the following kite.

Solution:

So, the area of the kite is 176 cm².

Remember:

Two pairs of adjacent sides of a kite are equal and one pair of opposite angles are equal.
The diagonals intersect each other at right angles.
One diagonal is bisected by the other.
The area of a kite is given by the following formula where x and y are the lengths of the kite's diagonals:

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