Calculate the area and perimeter of a kite from its diagonals and side lengths.
In geometry, a kite is a quadrilateral (four-sided shape) with two pairs of adjacent sides that are equal in length, and one pair of opposite angles that are equal. Its two diagonals are perpendicular to each other, and one diagonal bisects the other — this perpendicularity is exactly what makes the area formula so simple.
Area = (d₁ × d₂) ÷ 2
Perimeter = 2 × (a + b)
For a kite with diagonals of 12 and 8 units: Area = (12 × 8) ÷ 2 = 48 square units. If the two distinct side lengths are 5 and 7 units, Perimeter = 2 × (5 + 7) = 24 units.
Area = 0.5 × diagonal1 × diagonal2; perimeter = 2 × (side1 + side2).
It has two pairs of adjacent equal sides, and its diagonals intersect at right angles.
A rhombus has all four sides equal; a kite has only two pairs of equal adjacent sides.