Kites Used in Math

A kite is most likely the lovely toy that soars high in the air while being attached to you by a string. The geometric shape of the toy kite is the kite. A kite is a quadrilateral form with two pairs of congruent (equal-length) neighbouring (touching) sides. This indicates that a kite is everything: Figure of a plane, A closed form and a rectangle. A rhombus, a dart, or perhaps a square can be used as a kite (four congruent sides and four congruent interior angles).

Kites 

A kite is typically defined as a four-sided, flat object having two sets of equal-sized neighbouring sides. So, that sounds a little complex. But don’t worry, I’ll explain everything. A kite form resembles a diamond with the centre moved upwards somewhat. The length of the top two sides and the bottom two sides are the same.

Another way to see a kite is to imagine the old-fashioned version that people used to fly. That was the type of kite I used to fly as a youngster. It had the appearance of a diamond with the centre pushed upwards. It flew nicely, and I was able to get it to soar really high.

A kite is a quadrilateral with two sets of equal-length sides that are contiguous.

Properties:

• Where the uneven sides meet, the two angles are equal
• It’s made up of two congruent triangles having a common base
• It contains two diagonals that cross at right angles
• The primary or longer diagonal cuts across the other diagonal
• The main diagonal of a kite is symmetrical
• The kite is divided into two isosceles triangles by the shorter diagonal

Sides in kites

A kite has four sides in total. These four sides can be divided into two pairs of neighbouring sides or two pairs of sides that are adjacent to each other. The top two sides and the bottom two sides of a kite drawn in the manner of flying kites are the two pairs. Each pair has a distinct measurement, but they all have the same length sides. As a result, the top two sides will be the same length, and the bottom two sides will be the same length, but the lengths of the top and bottom sides may differ.

Derivation for Area of a Kite

The area of a kite equals half the product of its diagonal lengths. The formula for calculating a kite’s area is: Area=12 ×(d1and d2)The long and short diagonals of a kite are d1and d2

AC ×BD is the area of the kite ABCD

 Area of a kite=1/2×AC×BD

Here AC and BD are two diagonals.

Example of a kite in math

A rhombus (a quadrilateral with four equal-length sides) is regarded as a particular instance of a kite in a hierarchical classification since its edges can be partitioned into two adjacent pairs of equal length, and a square is a special example of a rhombus with equal right angles.

Solved Examples of a Area of a Kite

The inside diagonals of a kite are perpendicular. The length of one diagonal is double that of the other. The kite has a total area of 196 unit2. Determine how long each inside diagonal is.

Ans. We know area of a kite is given as Area=12d1d2

Now consider the diagonal of a kite be x

However, in this case, the query merely offers information on the precise location. The diagonal lengths are expressed as a ratio, with d1:d2=1:2 i.e d1=x and d2=2x.

 Area=1/2×x×2x

 196=1/2×2x²=196=x²

 x=14.

Hence d1=14 and d2=28 unit

Conclusion

A kite is a quadrilateral having two discontinuous pairs of congruent adjacent sides in geometry, also known as a deltoid. A quadrilateral with a central axis along one of its diagonals can also be characterized as a kite. A kite can be convex or concave, as mentioned above, however the term “kite” is often used to refer to the convex variety. A “dart” or “arrowhead” is another name for a concave kite. A kite is typically defined as a four-sided, flat object having two sets of equal-sized neighbouring sides. A kite is a quadrilateral with two sets of equal-length sides that are contiguous. . A rhombus, a dart, or perhaps a square can be used as a kite (four congruent sides and four congruent interior angles).