Introduction to kite geometry:
Geometry is a study of size, shape and properties of objects or figures. English word ‘Geometry’ is derived from the Greek word ‘Geo’ meaning ‘earth’ and ‘metron’ means ‘Measuring’. Euclid who lived in 300 B.C. was distinguished Greek mathematician known as the ‘Father of geometry’
‘Quadrilateral’ is four sides geometric figure which has 4 edges and four angles. Kite is one of the quadrilaterals. Here we are going to see about kite geometry.
Properties of geometry kites:
1. Diagonals:
The diagonals of kite which bisects each other at right angles to form 90 degrees.
2. Area of kite:
The areas of a kite which can be calculated by the following methods .They are
1. The method of using diagonals measurement
Area = (d1*d2)/2
2. The method of using trigonometry
Area = ab sin c
3. Perimeter of kite:
The measurement of each of its sides gives the perimeter of kites.
4. A kite can become a rhombus:
A kite consists of four sides having its adjacent length are same and it looks like rhombus
The adjacent sides of kites are equal in its measurement. The opposite angles are not equal when its length are equal .I have recently faced lot of problem while learning Find the Perimeter of a Polygon, But thank to online resources of math which helped me to learn myself easily on net.
Problems for kite geometry:
Example 1:
The two diagonals of kites are d1 = 12 cm and d2 = 16 cm .Find the area of the kite?
Solution:
The area of kite which can be given as follows,
Area = (d1×d2)/2
= (12 × 16)/2
= 192/2
= 96 cm^2
Example 2.
Find the perimeter of the kite whose sides are 3,3,6,6.
Solution:
The perimeter of the kite can be given as the sum of all the sides.
Perimeter = 2a + 2b
= (2 × 3) + (2 × 6)
= 6 + 12
= 18 cm^2
Example 3:
Find the area of the kite where its sides and angle are 30 and a = 12 cm and b = 15 cm
Solution:
Area = ab sin c
= (12 × 15) sin 30
= 180 sin 30
= 180 × (1/2)
= 90 cm^2
Geometry is a study of size, shape and properties of objects or figures. English word ‘Geometry’ is derived from the Greek word ‘Geo’ meaning ‘earth’ and ‘metron’ means ‘Measuring’. Euclid who lived in 300 B.C. was distinguished Greek mathematician known as the ‘Father of geometry’
‘Quadrilateral’ is four sides geometric figure which has 4 edges and four angles. Kite is one of the quadrilaterals. Here we are going to see about kite geometry.
Properties of geometry kites:
1. Diagonals:
The diagonals of kite which bisects each other at right angles to form 90 degrees.
2. Area of kite:
The areas of a kite which can be calculated by the following methods .They are
1. The method of using diagonals measurement
Area = (d1*d2)/2
2. The method of using trigonometry
Area = ab sin c
3. Perimeter of kite:
The measurement of each of its sides gives the perimeter of kites.
4. A kite can become a rhombus:
A kite consists of four sides having its adjacent length are same and it looks like rhombus
The adjacent sides of kites are equal in its measurement. The opposite angles are not equal when its length are equal .I have recently faced lot of problem while learning Find the Perimeter of a Polygon, But thank to online resources of math which helped me to learn myself easily on net.
Problems for kite geometry:
Example 1:
The two diagonals of kites are d1 = 12 cm and d2 = 16 cm .Find the area of the kite?
Solution:
The area of kite which can be given as follows,
Area = (d1×d2)/2
= (12 × 16)/2
= 192/2
= 96 cm^2
Example 2.
Find the perimeter of the kite whose sides are 3,3,6,6.
Solution:
The perimeter of the kite can be given as the sum of all the sides.
Perimeter = 2a + 2b
= (2 × 3) + (2 × 6)
= 6 + 12
= 18 cm^2
Example 3:
Find the area of the kite where its sides and angle are 30 and a = 12 cm and b = 15 cm
Solution:
Area = ab sin c
= (12 × 15) sin 30
= 180 sin 30
= 180 × (1/2)
= 90 cm^2
