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NCERT Solutions for Class 9 Maths Areas of Parallelograms and Triangles

Have you checked askIITians NCERT Solutions for Class 9 Maths Areas of Parallelograms and Triangles? They are easy to understand and include comprehensive explanations. Now you can prepare this chapter at your own pace and practice every NCERT question as many times as you like. These solutions are prepared by ex-IITians with years of experience in teaching Maths concepts to students. Prepare for olympiads and competitive exams easily with the help of our free NCERT solutions. 

The NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles have exercise-wise solutions so that you do not have to face any difficulty in accessing the answers. There are 4 exercises in this chapter with almost 30 questions in total. The main topics covered with these online NCERT solutions are areas of parallelograms and triangles, figures on the same base and between the same parallels, and parallelograms as well as triangles on the same base and between the same parallels.

About NCERT Solutions for Class 9 Maths Areas of Parallelograms and Triangles

You are already familiar with how to find areas of different two-dimensional shapes like a triangle, rectangle, square, etc. In this chapter, you will use that knowledge and study how to find the areas of these geometric figures under the condition when they lie on the same base and between the same parallels. Here are some important points related to Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles:

  • A parallelogram is a quadrilateral with two pairs of parallel sides. 
  • The part of the plane enclosed by a simple closed figure is called a planar region corresponding to that figure. The magnitude or measure of this planar region is called its area. 
  • Two figures are called congruent if they have the same shape and the same size. 
  • If two figures are congruent, they have the same area. 
  • Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.
  • Parallelograms on the same base (or equal bases) and between the same parallels are equal in area.
  • Parallelograms on the same base (or equal bases) and having equal areas lie between the same parallels.
  • If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram.
  • Area of a parallelogram = Base X Height
  • Area of a triangle = ½ Base X Height
  • Triangles on the same base (or equal bases) and having equal areas lie between the same parallels.
  • A median of a triangle divides it into two triangles of equal areas.

Download NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles by askIITians are a smart way to revise all the concepts of the chapter. We have included all the explanations in the solutions so that you can understand how to solve the questions in the exam. You can easily build a strong grasp of the chapter with the NCERT online solutions prepared by our qualified Maths experts. This will help you revise the chapter as per the CBSE exam pattern and syllabus and also will make you more confident for your exams. The best part is, you can download these solutions for free. 

Download free NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles from the links given below:

  • Class 9 Maths Chapter 9 Ex 9.1 Solutions - 1 Question 
  • Class 9 Maths Chapter 9 Ex 9.2 Solutions - 6 Questions 
  • Class 9 Maths Chapter 9 Ex 9.3 Solutions - 16 Questions
  • Class 9 Maths Chapter 9 Ex 9.4 Solutions - 8 Questions 

NCERT Solutions for Class 9 Maths Chapter 9 Ex 9.1 

This exercise is quite basic and includes just one question. Here you have to find which of the following figures lie on the same base and between the same parallels. If yes, then you have to write the common base and the two parallels. We have given complete explanations for this question in our online NCERT solutions. Check them out today and clarify your doubts. 

NCERT Solutions for Class 9 Maths Chapter 9 Ex 9.2

The second exercise of NCERT Class 9 Maths Chapter 9 Ex 9.2 is about parallelograms on the same base and between the same parallels. Here are some important points to note about this exercise:

  • Parallelograms on the same base and between the same parallels are equal in area. 
  • The area of a parallelogram is the product of any side and the corresponding altitude.
  • Parallelograms on the same base (or equal bases) and having equal areas lie between the same parallels.

NCERT Solutions for Class 9 Maths Chapter 9 Ex 9.3

The third exercise of NCERT Class 9 Maths Chapter 9 Ex 9.3 is about triangles on the same base and between the same parallels. Here are some important points to note about this exercise that we have included in the NCERT solutions:

  • Two triangles on the same base (or equal bases) and between the same parallels are equal in area.
  • The area of a triangle is half the product of its base (or any side) and the corresponding altitude (or height).
  • Two triangles with the same base (or equal bases) and equal areas will have equal corresponding altitudes.
  • Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.

NCERT Solutions for Class 9 Maths Chapter 9 Ex 9.4

The last exercise of this chapter includes miscellaneous questions related to areas of parallelograms and triangles. You must first solve all the first-three NCERT exercises of the chapter before you solve this exercise. All the questions of this exercise are important from the examination perspective as they help you build a solid foundation of the chapter. Our NCERT Solutions for Class 9 Maths include complete stepwise answers for this exercise. 

Why are NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles Important? 

Reduce your Burden: Our NCERT Solutions for Class 9 Maths provide a complete understanding of the chapter. This way, you can reduce your burden and feel relaxed as they can get their doubts solved then and there. 

Conceptual Knowledge: With our online NCERT Solutions for Class 9 Maths, students can brush up all the concepts of parallelograms and triangles easily. You can understand how to prove the theorems step by step. 

Self-paced Learning: Students do not have to rush and complete the whole exercise in one go. They can use our NCERT solutions for Areas of Parallelograms and Triangles at their convenience. Download our solutions and refer to them as many times as you want. 

Last-minute Revision: Although askIITians provides revision notes for Areas of Parallelograms and Triangles, you can also use our NCERT solutions to revise the concepts of areas of parallelograms and triangles. Just go through our NCERT solutions a day before your exam and make sure you are well-prepared. 

Unlimited Practice: The more you practice the NCERT questions, the better you prepare for CBSE Class 9 Maths examination. With our NCERT solutions in hand, students can practise without worrying about solving their doubts. 

With so many benefits, NCERT solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles are a must for students. Download our solutions right away and start practising the important concepts of the chapter easily. 

NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles FAQs

  1. Which topics are covered in NCERT Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles? 

NCERT Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles include topics such as the introduction of areas of parallelograms and triangles, figures on the same base and between the same parallels, and parallelograms as well as triangles on the same base and between the same parallels.

  1. Should I practice all the NCERT questions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles? 

Yes, every question in this chapter is important. Every question helps you understand the important theorems of the chapter. Moreover, CBSE papers are based on NCERT exercises only. So you must practice all the NCERT exercises for better marks in your exams. 

  1. Are there any important formulas used in NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles?

You must remember two important formulae for finding the NCERT solutions of Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles:

  • Area of a parallelogram = Base X Height
  • Area of a triangle = ½ Base X Height

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