Kite ( Geometry Kite Definition And Properties, What Is A Kite

A Kite is a flat shape with straight sides.

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It has two pairs of equal-length adjacent (next to each other) sides.

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It often looks likea kite!

Two pairs of sides

Each pair is two equal-length sides that are adjacent (they meet)

The angles are equal where the two pairs meet
Diagonals (dashed lines) cross at right angles,and one of the diagonals bisects (cuts equally in half) the other

Play with a Kite:

Areaof a Kite

Method 1:

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Multiply the lengths of the diagonals and then divide by 2 to find the Area:

Area = p × q2

Example: A kite has diagonals of 3 cm and 5 cm, what is its Area?

Area = 3 cm × 5 cm2 = 7.5 cm2

Method 2:

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Multiply the lengths of two unequal sides by the sine of the angle between them:

Area = a × b × sin(C)

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Example: You don”t want to get wet measuring the diagonals of a kite-shaped swimming pool. So you measure unequal side lengths of 5.0 m and 6.5 m with an angle between them of 60°. What is its Area?

Area = a × b × sin(C)
= 5.0 × 6.5 × sin(60°)
= 5.0 × 6.5 × 0.866…

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= 28.1 m2 (to 1 decimal)

Method 3:

If you can draw your Kite, try the Area of Polygon by Drawing tool.

Perimeter of a Kite

The Perimeter is the distance around the edges.

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The Perimeter is 2 times (side length a + side length b):

Perimeter = 2(a + b)

Example: A kite has side lengths of 12 m and 10m, what is its Perimeter?

Perimeter = 2 × (12 m + 10 m) = 2 × 22 m = 44 m

Rhombus and Square

When all sides have equal length the Kite will also be a Rhombus.

See more articles in category: Geometry
See also  Geometry Geogebra - Geometry (Modeling With Geometry)

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