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Chapter 10 Class 9 Herons Formula

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Updated for new NCERT - 2023-24 Curriculmn

Get NCERT Solutions of all exercise questions and examples of Chapter 10 Class 9 Herons Formula. Answers to all question have been solved in a step-by-step manner, with videos of all questions available.

 

We have studied that

Area of triangle  = 1/2 × Base × Height

 

In questions where Height and Base is given, we can find the area of triangle easily.

But, in cases where all 3 sides are given, how will we find the area?

If all 3 sides are given, we find Area of Triangle using Herons (or Hero's) Formula

 

By Hero's Formula

Area of triangle = Square root (s (s-a) (s-b) (s-c))

where a,b, c are sides of the triangle

and s = Semi-Perimeter of Triangle

i.e. s = (a+b+c)/2

 

In this chapter, we will find Area of Triangle using Herons formula

We will also find Area of Quadrilateral by dividing it into two triangles, and then finding Area of triangle using Hero's Formula

 

Click on an exercise link or a topic link below to start doing the chapter.


Serial order wise

  Ex 10.1

Concept wise


What's in it?

Updated for new NCERT - 2023-24 Curriculmn

Get NCERT Solutions of all exercise questions and examples of Chapter 10 Class 9 Herons Formula. Answers to all question have been solved in a step-by-step manner, with videos of all questions available.

 

We have studied that

Area of triangle  = 1/2 × Base × Height

 

In questions where Height and Base is given, we can find the area of triangle easily.

But, in cases where all 3 sides are given, how will we find the area?

If all 3 sides are given, we find Area of Triangle using Herons (or Hero's) Formula

 

By Hero's Formula

Area of triangle = Square root (s (s-a) (s-b) (s-c))

where a,b, c are sides of the triangle

and s = Semi-Perimeter of Triangle

i.e. s = (a+b+c)/2

 

In this chapter, we will find Area of Triangle using Herons formula

We will also find Area of Quadrilateral by dividing it into two triangles, and then finding Area of triangle using Hero's Formula

 

Click on an exercise link or a topic link below to start doing the chapter.