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PPT: Heron's Formula
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Page 1
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
The area of a closed figure is the surface or the space inside
its boundary. It is measured in square units based on the
length unit used.
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
The area of a closed figure is the surface or the space inside
its boundary. It is measured in square units based on the
length unit used.
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
The area of a closed figure is the surface or the space inside
its boundary. It is measured in square units based on the
length unit used.
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
HERON’S
FORMULA
The formula of area of a
triangle is given by heron
and it is also called
Heron’s Formula.
Area of Triangle
s is Semi-Perimeter
where a, b and c are the sides of the triangle
Read MoreFAQs on PPT: Heron's Formula
| 1. What is Heron's formula and when do I need to use it? |  |
Ans. Heron's formula calculates the area of a triangle when only the three side lengths are known, without needing the height. It's essential when you're given sides but not the perpendicular distance. The formula uses the semi-perimeter (s) to find area: Area = √[s(s-a)(s-b)(s-c)], where a, b, c are the three sides and s = (a+b+c)/2. This method works for any triangle type.
| 2. How do I find the semi-perimeter and why is it important in Heron's formula? | |
Ans. The semi-perimeter (s) is half the total perimeter of the triangle, calculated as s = (a+b+c)/2. It simplifies the area formula by reducing three separate side measurements into one intermediate value. Without the semi-perimeter, the mathematical expression becomes unnecessarily complex. It's the bridge between your three side lengths and the final area calculation using Heron's method.
| 3. Can I use Heron's formula for all types of triangles, or only specific ones? | |
Ans. Heron's formula works universally for scalene, isosceles, and equilateral triangles-any triangle where all three sides are known. Unlike the standard base × height method, it doesn't require identifying a perpendicular height, making it remarkably versatile. Whether your triangle is acute, obtuse, or right-angled, if you have the side lengths, Heron's formula delivers the area accurately every time.
| 4. What's the difference between using Heron's formula versus the base and height method for finding triangle area? | |
Ans. The base-height method (Area = ½ × base × height) requires identifying a perpendicular, which isn't always straightforward. Heron's formula uses only side lengths, eliminating the need to calculate or identify height. For complex or irregular triangles, especially in word problems where heights aren't directly provided, Heron's approach is faster and more practical for GCSE/IGCSE examinations.
| 5. How do I check if my answer using Heron's formula is correct? | |
Ans. Verify using alternative methods: calculate area with a different base-height pair if possible, or check if your semi-perimeter satisfies the triangle inequality (each side must be less than the sum of the other two). Use flashcards and mind maps from EduRev to practise verification techniques. Cross-checking with worked examples ensures your application of the formula and arithmetic calculations are both accurate before submitting exam answers.
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Document Description: PPT: Heron's Formula for Class 10 2026 is part of Mathematics for GCSE/IGCSE preparation. The notes and questions for PPT: Heron's Formula have been prepared according to the Class 10 exam syllabus. Information about PPT: Heron's Formula covers topics like and PPT: Heron's Formula Example, for Class 10 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for PPT: Heron's Formula.
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