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H E R O N ’ S
F O R M U L A
Page 2


H E R O N ’ S
F O R M U L A
It is the outside boundary of any closed shape. To
find the perimeter we need to add all the sides of the
given shape.
P e r i m e t e r
The perimeter of a rectangle is the sum of its all sides.
Its unit is same as of its length.
Perimeter = 3 + 7 + 3 + 7 cm
Perimeter of rectangle = 20 cm
Page 3


H E R O N ’ S
F O R M U L A
It is the outside boundary of any closed shape. To
find the perimeter we need to add all the sides of the
given shape.
P e r i m e t e r
The perimeter of a rectangle is the sum of its all sides.
Its unit is same as of its length.
Perimeter = 3 + 7 + 3 + 7 cm
Perimeter of rectangle = 20 cm
A
B C
Area of any closed figure is the surface enclosed by the perimeter. Its unit is
square of the unit of the length.
Area
Area of a triangle
The general formula to find the area
of a triangle, if the height is given, is
Page 4


H E R O N ’ S
F O R M U L A
It is the outside boundary of any closed shape. To
find the perimeter we need to add all the sides of the
given shape.
P e r i m e t e r
The perimeter of a rectangle is the sum of its all sides.
Its unit is same as of its length.
Perimeter = 3 + 7 + 3 + 7 cm
Perimeter of rectangle = 20 cm
A
B C
Area of any closed figure is the surface enclosed by the perimeter. Its unit is
square of the unit of the length.
Area
Area of a triangle
The general formula to find the area
of a triangle, if the height is given, is
Area of a Right Angled Triangle
If we have to find the area of a right-angled
triangle then we can use the above formula
directly by taking the two sides having the right
angle one as the base and one as height.
Here base = 3 cm and height = 4 cm
Area of Triangle = 1 x 3 x 4
                    2
Area of Triangle =  6 cm
2
Page 5


H E R O N ’ S
F O R M U L A
It is the outside boundary of any closed shape. To
find the perimeter we need to add all the sides of the
given shape.
P e r i m e t e r
The perimeter of a rectangle is the sum of its all sides.
Its unit is same as of its length.
Perimeter = 3 + 7 + 3 + 7 cm
Perimeter of rectangle = 20 cm
A
B C
Area of any closed figure is the surface enclosed by the perimeter. Its unit is
square of the unit of the length.
Area
Area of a triangle
The general formula to find the area
of a triangle, if the height is given, is
Area of a Right Angled Triangle
If we have to find the area of a right-angled
triangle then we can use the above formula
directly by taking the two sides having the right
angle one as the base and one as height.
Here base = 3 cm and height = 4 cm
Area of Triangle = 1 x 3 x 4
                    2
Area of Triangle =  6 cm
2
H E R O N ’ S
F O R M U L A
The formula of area of a
triangle is given by heron
and it is also called H e r o n ’ s
F o r m u l a.
Area of Triangle
s is Semi-Perimeter
where a, b and c are the sides of the triangle
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FAQs on PPT: Heron's Formula - Mathematics (Maths) Class 9

1. What is Heron's Formula?
Ans. Heron's Formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known.
2. When is it appropriate to use Heron's Formula?
Ans. Heron's Formula is most commonly used when the lengths of all three sides of a triangle are known, making it easier to calculate the area without needing the height.
3. How do you use Heron's Formula to find the area of a triangle?
Ans. To use Heron's Formula, first calculate the semi-perimeter of the triangle by adding all three side lengths and dividing by 2. Then, substitute the semi-perimeter and side lengths into the formula to find the area.
4. Can Heron's Formula be used for all types of triangles?
Ans. Yes, Heron's Formula can be used for all types of triangles, including equilateral, isosceles, and scalene triangles, as long as the lengths of all three sides are known.
5. How is Heron's Formula different from other methods of calculating the area of a triangle?
Ans. Heron's Formula is unique because it does not require the height of the triangle to be known, unlike other methods such as using the base and height or trigonometry. This makes it a versatile formula for calculating triangle areas.
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