# NCERT Solutions for Class 9 Maths Chapter 12 Heron's Formula

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NCERT Solutions for Class 9 Maths Chapter 12 Heron's Formula: In the previous class, we have studied how to find the area of a triangle if base and height of the triangle are given. NCERT Solutions for Class 9 Maths Chapter 12 deals with how to find the area of the triangular region if sides of triangles are known. That is if three sides of triangles are a,b,c then the area in terms of a, b and c is given by the Heron's Formula. The area is given by the formula $\sqrt{s(s-a)(s-b)(s-c)}$ where s is half the perimeter. That is $s=\frac{a+b+c}{2}$.  We may think that why we are using this formula? The application of this formula is for calculating the area of irregular plots. If we have a land whose shape is not regular we will divide the plots into different triangles and then apply Heron's Formula to calculate the area.

Let's try to solve an example given in the NCERT Solutions for Class 9 Maths

Sanya has a piece of land which is in the shape of a rhombus as shown in the figure below.

She decided to grow two types of crops in the land. She divided the land into two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each of the crops will get?

The above questions can be solved easily using the concept of Heron' s Formula mentioned in this chapter of  NCERT Solutions for Class 9 maths.

## The main topics of  NCERT Solutions of this chapter are listed below:

12.1 Introduction

12.2Area of a Triangle — by Heron’s Formula

12.3Application of Heron’s Formula in Finding Areas of Quadrilaterals

There are two exercises in the NCERT Solutions for Class 9 Maths Chapter 12 Heron's Formula. Try to solve all the problems of exercise your self.

if any doubt comes you can refer the NCERT Solutions for Class 9 Maths Chapter 12 Heron's Formula given below:

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 13 Surface Area and Volumes Chapter 14 Statistics Chapter 15 Probability

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