# NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties (EX 6.1) Exercise 6.1

It is necessary to keep revising formulae, definitions, and theorems related to Mathematics topics to be capable of solving questions. Class 7 students having doubts and confusion in practising questions of Exercise 6.1 can make use of the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1. All the exercises of Chapter 6 are necessary from the examination perspective. There are 5 exercises in Chapter 6. Each one of them should be practised consistently. Class 7 students who are unable to practise exercises on their own can refer to the NCERT solutions. They will find very authentic NCERT solutions on the Extramarks website and mobile application. Apart from practising exercises, students need to solve past years’ papers and sample papers of Mathematics from time to time. They are available for download on the Extramarks website and mobile application. Students will get familiar with the marks distribution of Mathematics when they go through the past years’ papers. The solutions of past years’ papers are also available on Extramarks. The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are also beneficial for solving questions from  past years’ papers.

Mathematics is one of the core subjects in primary and secondary school education. Most students believe that it is challenging to achieve higher marks in Mathematics. When studied properly, it can be easier to obtain excellent marks in the Mathematics examination. Students can easily perform well in the Mathematics examination with adequate preparation and effective study techniques. It is suggested that students develop a list of all the crucial concepts in a chapter and focus more on them. Students in Class 7 of the Central Board of Secondary Education (CBSE) should keep using online tools to improve their exam preparation for Mathematics. For Class 7 students to effectively practise for the Mathematics examination, Extramarks provides sample papers, mock tests, NCERT solutions, past years’ papers, and other resources. Study materials such as the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are very significant for scoring well in the Mathematics examination. Mathematics is a unique subject and requires a dedicated study plan. To prepare effectively for the Mathematics examination, students must refer to all the topics given in the NCERT textbooks. Class 7 students must rely on the NCERT textbook of Mathematics to cover the chapters given in the latest CBSE syllabus. The NCERT textbooks are the primary source of information for the CBSE Board. All the chapters given in the textbook are covered in detail and are explained in detail for ease of comprehension.  In the textbook, there are numerous solved examples for students to get a general idea of questions that can be framed from a topic.The National Council of Educational Research and Training (NCERT) publishes course textbooks for all CBSE Board classes. The goal of the NCERT is to give students well-rounded information in all subjects. NCERT also provides training courses for teachers in India’s primary and secondary schools. The NCERT is a government entity that is under the control of the Ministry of Education. It is also responsible for conductingresearch in the area of school education. This assists in identifying crucial modifications that should be made to the way  classes are run and how teachers teach.

Students must learn the best methods of solving questions in order to score well in the final examination of Mathematics. Regular practise is very necessary for learning to give solutions in ways that have the potential to fetch higher marks and are also time effective. Practising questions with the assistance of the Class 7 Maths Chapter 6 Exercise 6.1 Solutions is beneficial for learning the best methods of practising questions. All the topics of Chapter 6 are important from the perspective of the examination. Theoretical parts of each topic must be thoroughly revised to be able to solve questions based on them. Topics covered before Exercise 6.1 should be reviewed before solving questions given in it. The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are helpful in practising questions of Class 7 Maths Chapter 6 Exercise 6.1. Students need to focus on the diagrams given in topics before Class 7 Maths Exercise 6.1 to be capable of solving the questions given in the exercise.

## NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties (EX 6.1) Exercise 6.1

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are accessible on the Extramarks website and mobile application in PDF format. All the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are given in a well-structured format so that students can easily understand them. It is important for students to learn better problem-solving skills in order to score well in the Mathematics examination. Solving questions by referring to the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 will assist students to learn better problem-solving skills. Some questions given in the chapter titled Triangle and its Properties can seem complex for students. It is necessary to find a way to simplify them. The NCERT solutions will aid students to simplify complex questions and solve them effectively. All the complex questions of Exercise 6.1 can be solved well by referring to the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1. When using the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1, students will discover how to solve problems in a very efficient manner. Regular practise is encouraged for students to cultivate the habit of solving questions. It becomes simple for students to perform well in Mathematics examination when they develop the habit of solving questions on a regular basis. It is essential to use the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 to develop a habit of practising questions.

## Access NCERT Solutions for Class 7 Maths Chapter 6 – Triangles and its properties

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are accessible on the Extramarks learning portal in PDF format. Students having difficulty in finding the exact NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 can easily access them from Extramarks.

### CBSE Solutions for Class 7 Maths Chapter 6 – The Triangle and its Properties Exercise 6.1

The central theme of Chapter 6 is The Triangle and its Properties. Students will get acquainted with all the properties of triangles in this chapter. They will also learn about various aspects related to triangles, such as their altitude, median, etc. All the properties of a triangle must be revised at regular intervals to be able to solve questions in the chapter. The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 can be utilised to learn the correct techniques for solving questions. For students to become more proficient in Chapter 6, each  of the chapter’s questions is crucial. Each chapter’s exercises in Class 7 Mathematics must be practised by students. Students should refer to the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 as they are helpful in dispelling students’ uncertainties and making questions simple to solve. They will be able to practise more by solving difficult questions and developing a positive mindset. In order for students to remember formulae and concepts from chapters for a longer period of time, periodic revisions are  necessary. It is advantageous to use the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 to solve problems in order to review the formulae, definitions, derivations, and other elements of Chapter 6. Students must use the Extramarks website and mobile application to obtain the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1.

### What is Pythagoras’ Theorem?

Pythagoras’ theorem is related to right-angled triangles. It means that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. It is used in finding the length of an unknown side of a right-angled triangle.

### Score Big with NCERT Solution for Class 7 Maths Chapter 6 Exercise 6.1

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are very helpful in scoring higher marks in the Mathematics examination. All the questions related to Chapter 6 are crucial from the examination perspective. Students must keep practising them at regular intervals. Regular practise of questions is also beneficial for learning time management skills. Practising NCERT Class 7 Maths Chapter 6 Exercise 6.1 with the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 will assist students to learn better time management skills.

### Some Useful Education Tips to Score Good Marks in Your Upcoming Maths Exam

Mathematics can be a high-scoring subject if students prepare effectively for its examination. Students are advised to keep referring to the study materials regularly in order to score well in the Mathematics examination. Questions related to each topic must be practised by students. They are also required to practice past years’ papers and sample papers of Mathematics periodically. All essential study materials for scoring well in the Mathematics examination are accessible on Extramarks.

### NCERT Solutions for Class 7

Extramarks has NCERT solutions for all the subjects in the Class 7 curriculum. Students who are facing challenges in solving exercises related to any subject can take assistance from the NCERT solutions available on the Extramarks learning platform. They can also access revision notes, sample papers, past years’ papers, etc., for each subject in Class 7 from Extramarks. All the study resources provided by Extramarks are very authentic and up-to-date. It is devoted to giving students the finest possible learning opportunities and empowering them to succeed in their examinations. With Extramarks’ aid, students can achieve higher marks in their examinations.  Students have beenrelying on Extramarks for studying subjects since 2007. The Extramarks learning platform can be used by students of the CBSE, ICSE, and other major state boards to enhance their knowledge in various subjects. The live classes are really engaging, and all the concepts are clearly explained. At Extramarks, all of the instructors are highly skilled and have extensive experience in the teaching field. With the help of Extramarks, students can study for competitive exams like JEE Mains, NEET, CUET, and others. Students will have access to programmes specifically designed for JEE exam preparation on Extramarks. To assess their understanding, they can also use a variety of practise tools and mock tests. Every learner on Extramarks will receive customised reports and analysis from Extramarks to aid in improving their preparation skills. In order to perform well in the examinations, students must continually refer to the Extramarks study materials.

Q.1

$\mathrm{In}\mathrm{\Delta }\mathrm{PQR},\mathrm{D is the mid}–\mathrm{point}\mathrm{of}\overline{\mathrm{QR}.}$

$\begin{array}{l}\overline{\text{PM}}\text{is}_________________.\\ \overline{\text{PD}}\text{is}_________________.\\ \text{Is QM}=\text{MR}?\end{array}$

Ans.

$\begin{array}{l}\overline{\text{PM}}\text{is}\overline{)\underset{_}{\text{Altitude}}}.\\ \overline{\text{PD}}\text{is}\overline{)\underset{_}{\text{Median}}}.\\ \text{No}\text{.}\end{array}$

Q.2

$\begin{array}{l}\mathrm{Draw}\mathrm{rough}\mathrm{sketches}\mathrm{for}\mathrm{the}\mathrm{following}:\\ \left(\mathrm{a}\right)\mathrm{In}\mathrm{\Delta ABC},\mathrm{BE}\mathrm{is}\mathrm{a}\mathrm{median}.\\ \left(\mathrm{b}\right)\mathrm{In}\mathrm{\Delta }\mathrm{PQR},\mathrm{PQ}\mathrm{and}\mathrm{PR}\mathrm{are}\mathrm{a}\mathrm{ltitudes}\mathrm{of}\mathrm{the}\mathrm{triangle}.\\ \left(\mathrm{c}\right)\mathrm{In}\mathrm{\Delta }\mathrm{XYZ},\mathrm{YL}\mathrm{is}\mathrm{an}\mathrm{altitude}\mathrm{in}\mathrm{the}\mathrm{exterior}\mathrm{of}\mathrm{the}\mathrm{triangle}.\end{array}$

Ans.

(a)

(b)

(c)

For ΔXYZ, YL is an altitude drawn exterior to side XZ which is extended up to point L.

Q.3

$\begin{array}{l}\mathrm{Verify}\mathrm{by}\mathrm{drawing}\mathrm{a}\mathrm{diagram}\mathrm{if}\mathrm{the}\mathrm{median}\mathrm{and}\mathrm{altitude}\mathrm{of}\mathrm{an}\\ \mathrm{isosceles}\mathrm{triangle}\mathrm{can}\mathrm{be}\mathrm{same}.\end{array}$

Ans.

Draw a line segment AD perpendicular to BC. It is an altitude for the triangle.
The length of BD and DC are same
.

Therefore, AD is also the median of this triangle
.

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### 1. Are the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 accessible in PDF format?

Class 7 students of the Central Board of Secondary Education can access the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 from Extramarks in PDF format. They can make use of the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 in offline mode as well.

### 2. What are the various advantages of referring to the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1?

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are helpful in boosting the confidence of students for the Mathematics examination. Students are able to learn problem-solving skills by using these solutions. They are beneficial for performing well in the Mathematics examination. Class 7 students can get easy solutions to problems of Exercise 6.1 of Chapter 6 by referring to the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1. They are also beneficial for revising the theories, definitions, etc related to each of the questions of Exercise 6.1.

### 3. What are the benefits of accessing NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 from Extramarks?

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are prepared by expert Mathematics teachers. Each of the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 is given in a simple and easy-to-understand format. Students can rely on the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 to get better results in the Mathematics examination.

### 4. How can students of Class 7 perform well in the Mathematics examination?

Practising exercises is the most crucial part of preparing well for the Mathematics examination. It also helps students to enhance their preparation for the Mathematics examination. They are supposed to solve past years’ papers and sample papers of Mathematics on a regular basis. It is also important for students to revise formulae, definitions, theorems, derivations, etc periodically. Students can get help from the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 in order to learn time management skills.

### 5. What benefits come from using the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1?

The NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 are beneficial for improving students’ Mathematics exam preparation. Using the  NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1 can help students develop their ability to solve questions step-by-step. If students practice using these solutions, they can perform well in the Mathematics examination. They are provided in an easy-to-read manner and are very reliable. Students’  computation speed will also increase if they practice questions regularly with the NCERT Solutions For Class 7 Maths Chapter 6 Exercise 6.1.