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NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula

NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula are a complete guide to help students solve the exercises of this chapter. Heron’s formula is an important concept that helps students understand the basic concepts of finding the area of a triangle. It is further applied in situations to find the area of a quadrilateral. Heron’s formula is an easy and scoring chapter once you understand the concept of finding the area of a triangle using this formula. Our NCERT solutions are created to help you with that. 

Class 9 Maths includes a variety of topics related to geometry and mensuration and Heron’s formula is one of them. Many students wonder why they have to study Heron’s formula when they know that the area of a triangle is calculated with the formula – {½ X Base X Height}. Well, there are situations in real life where we do not have the measurement of the height of a triangular shape. So, to find the area of that triangle we would first have to find its height which would make the process longer. With Heron’s formula, it would take less than a second to find the area. Let us see how our NCERT solutions for Grade 9 Maths Chapter 12 Heron's Formula can help you out. 

About NCERT Class 9 Maths Chapter 12 Heron's Formula 

Heron’s Formula Definition: It is a formula given by Heron to calculate the area of a triangle when the measurement of all three sides is known. It is given as: 

Area of a triangle = √s(s-a)(s-b)(s-c)

Where a, b, c are the lengths of the three sides of the triangle, and 

s = Perimeter of the triangle/2 = (a+b+c)/2 

Use of Heron’s Formula: It is used to find the area of a triangle when you do not know its height but the measurement of all its three sides. 

Application of Heron’s Formula: Heron’s formula is used to find the area of quadrilaterals. We divide the quadrilateral into triangular parts and calculate the area of each triangle. Then, we add the obtained areas and obtain the area of the quadrilateral. 

The online NCERT Solutions by askIITians for Class 9 Maths Chapter 12 Heron’s formula help you utilise this knowledge in solving the exercise questions of the chapter. Our Maths experts have provided stepwise solutions for the exercises of Heron’s Formula so that you can easily understand how to identify the pattern in the questions and proceed to solutions. You can download the NCERT Maths solutions for grade 9 for free and refer to them whenever you want. 

Download NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula for FREE

Our NCERT Solutions for Heron’s Formula Chapter are available for every student. You can download them in just one click and use them as a guide whenever you need them. We strictly recommend that you must try to solve the exercise questions by yourself and check our solutions only if you have a doubt. This way, you will never lose track and will be able to handle all questions easily. 

NCERT Class 9 Maths Chapter 12 Heron’s Formula chapter includes 2 exercises. The first exercise includes 6 questions while the second exercise includes 9 questions. NCERT online solutions provided by askIITians for Class 9 Chapter 12 Heron’s Formula include answers to all the questions exercise-wise. These solutions are cross-checked at least twice by our Maths experts and are completely error-free. 

NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula Ex 12.1 

The first exercise of Heron’s formula chapter includes 6 questions that are straightforward and based on using Heron's formula. You are given different real-life scenarios (hypothetical) to help you understand how Heron’s formula can be utilised in real-life situations. For example, in question 1 you are given a triangular signboard with a perimeter of 180 cm. You have to find the area of the signboard. 

One thing that you must take into account while solving these NCERT questions is calculations. Students often make mistakes in finding the square roots and get wrong answers. Due to this they lose confidence and think that they could not understand the concept. Whenever you get a wrong answer, just check our NCERT solutions and cross-check your calculations. 

NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula Ex 12.2

The second exercise of Class 9 Maths NCERT Chapter 12 Heron’s Formula is about the application of Heron’s formula for finding areas of quadrilaterals. This exercise not only tests your knowledge about Heron’s formula but also checks your analytical abilities and problem-solving skills. You need to analyse how a quadrilateral can be divided into different shapes, especially triangle(s) so that you can find their area.

Our most important tip for solving this exercise is to draw diagrams for every question. This will give you a better idea of what is given to you and what you have to find out. Our NCERT Solutions for Class 9 Maths Chapter 12 include labelled diagrams for every question. Practice how to create them using our solutions and you will never lose marks for wrongly interpreting the question. 

Why are NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula Important for Students? 

You must know that CBSE Maths papers are based on NCERT textbook questions only. So, there is no need to practice questions from anywhere else but the NCERT book. The solutions that we provide for NCERT Class 9 Maths Chapter 12 Heron’s Formula are based on the latest syllabus and exam pattern. They will help you prepare accurately for the examination. 

We have also made sure the solutions are self-explanatory so that you do not have to wait for someone to guide you. Just read the solution and the explanation given to you and solidify your concepts. Our solutions include stepwise calculations for better understanding. 

NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula FAQs

  1. What are the features of NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula by askIITians?
  • These solutions are prepared by our top Maths experts and are available for free for every student. 
  • They are based on the latest exam pattern and syllabus. 
  • They include stepwise solutions and comprehensive explanations.  
  • They are easy to understand and self-explanatory. 
  1. Do you also provide notes for Chapter 12 Heron’s Formula? 

Yes, you can find Heron’s Formula notes for self-study on the askIITians website. We have also provided sample papers, previous year questions and worksheets for Heron’s formula for practice. 

  1. How to use NCERT Solutions for Class 9 Maths Chapter 12 Heron’s formula? 

First, revise the basic concepts of the chapter such as what is Heron's formula and how to apply it in a question. Then, practice all the solved examples. Then, start solving the exercise questions. Refer to our NCERT solutions to understand how to solve the exercise or to find mistakes in your calculations. 

  1. Are askIITians NCERT solutions for Grade 9 Maths Heron’s formula reliable? 

Yes, all these solutions are double-checked by our Maths faculty. We have ensured that every question has a stepwise solution. All the explanations are also mentioned clearly to help you understand how to solve every question correctly in exams. 


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