# NCERT Solutions Class 7 Maths Chapter 6 The Triangle and its Properties

Triangle is the first simplest geometrical figure that can be drawn when three lines come together. The NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties, focuses on the properties of triangles. It starts with the explanations of the triangles' basic elements so as to enable a firm understanding of the sides and the angles of a triangle in a student's mind and the classification that these side measurements and angles make of the triangles. Like, based on the different measurements of the sides of the triangle, they are classified as scalene, isosceles, and equilateral, and based on the angles, the classification goes as acute-angled, right-angled triangles, and obtuse-angled triangle. Further, the concepts of median, altitude, angle sum property, and the Pythagoras theorem are discussed with practical examples in the NCERT solutions class 7 maths chapter 6.

The major takeaway for the students from the class 7 maths NCERT solutions chapter 6 The Triangle and its Properties, would be the properties that the triangles possess and also how they are differentiated, along with the important fact that the sum of the angles of any given triangle is equal to 180 degrees. This will be very helpful in the solving of questions which are in the exercises that can be downloaded from the pdf links below and also find some of these in the exercises given below.

- NCERT Solutions Class 7 Maths Chapter 6 Ex 6.1
- NCERT Solutions Class 7 Maths Chapter 6 Ex 6.2
- NCERT Solutions Class 7 Maths Chapter 6 Ex 6.3
- NCERT Solutions Class 7 Maths Chapter 6 Ex 6.4
- NCERT Solutions Class 7 Maths Chapter 6 Ex 6.5

## NCERT Solutions for Class 7 Maths Chapter 6 PDF

The NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties, has exercises consisting of questions framed around the above-mentioned concepts that will help in enriching the knowledge about the triangles. These exercises can be accessed through the links below:

**ā** Download Class 7 Maths NCERT Solutions Chapter 6

**NCERT Class 7 Maths Chapter 6 **

### NCERT Solutions for Class 7 Maths Chapter 6

Triangles have a well-defined geometrical feature that makes them useful to be used as templates for other shapes like quadrilaterals and hexagons. Hence, learning about triangles will ensure a strong base for future geometry topics. The students should make use of the NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties, to build upon their fundamentals. The classification of questions in each segment of the chapter can be found below:

- Class 7 Maths Chapter 6 Ex 6.1 - 3 Questions
- Class 7 Maths Chapter 6 Ex 6.2 - 2 Questions
- Class 7 Maths Chapter 6 Ex 6.3 - 2 Questions
- Class 7 Maths Chapter 6 Ex 6.4 - 6 Questions
- Class 7 Maths Chapter 6 Ex 6.5 - 8 Questions

ā Download Class 7 Maths Chapter 6 NCERT Book

**Topics Covered:** The topics that the class 7 maths NCERT solutions chapter 6 focusses on are the triangles and their different elements, the classification of triangles based on their side lengths, and the angle measurements. Also, the concepts of median, altitude, angle sum theorem, Pythagoras theorem are defined with the help of relevant examples.

**Total Questions:** Class 7 maths chapter 6 The Triangle and its Properties chapter 6 comprises 21 questions. 16 of which the students will find very easy, 3 of them are of medium complexity, while the remaining 2 involve drawing of geometric figures that will ensure students have practically understood the concepts.

## List of Formulas in NCERT Solutions Class 7 Maths Chapter 6

There are two important formulas that the students must take note of from the NCERT solutions class 7 maths chapter 6. One is that the total sum of the angles inside a triangle is equal to 180 degrees, and the other one being the Pythagoras theorem formula that states that the square of the hypotenuse is equal to the sum of the individual squares of the base and the perpendicular of the right-angled triangle. These formulas can be summarized as below:

**Angle Sum Property :**A + B + C = 180 degrees, where A, B and C are the respective angles of the triangle.**Pythagoras Theorem Formula :**Perpendicular^{2}+ Base^{2}= Hypotenuse^{2}

## FAQs on NCERT Solutions Class 7 Maths Chapter 6

### Why are NCERT Solutions class 7 Maths chapter 6 Important?

The National Council of Educational Research and Training (NCERT) focuses on simple and effective methods of imparting education to all. Hence, keeping this in mind, the expert scholars, after a lot of thorough research, have come up with these NCERT Solutions Class 7 Maths in which they have made sure to define the concepts of geometry in an easy-to-understand vocabulary, which makes these solutions an excellent resource for understanding difficult topics. The CBSE board has recommended the NCERT Solutions Class 7 Maths for exams which makes them a highly recommended and trustable resource of learning.

### How Many Questions are there in NCERT Solutions class 7 Maths chapter 6 The Triangle and its Properties?

There are 21 questions in the NCERT Solutions class 7 Maths Chapter 6 The Triangle and its Properties. 16 of them will be extremely easy for students as they involve finding unknown angles mostly with the help of angle sum property, 3 will be of medium difficulty, 2 of the questions involve the students to draw the triangles with given instructions and to find certain unknown parameters.

### What are the Important Topics Covered in NCERT Solutions class 7 Maths chapter 6?

The important topics that the NCERT Solutions class 7 Maths chapter 6 covers are the types of triangles and their definitions, the properties of triangles, the concept of altitude and median in a triangle, the theorems such as the angle sum property of triangles and the Pythagoras theorem in right-angled triangles.

### Why Should I Practice NCERT Solutions class 7 Maths The Triangle and its Properties chapter 6?

The concept of triangles is very well explained with the help of practical examples throughout the NCERT Solutions class 7 Maths The Triangle and its Properties chapter 6, which will make the students confident in the fundamental knowledge of triangles. Also, since the CBSE board recommends studying the NCERT solutions class 7 maths, the probability of the questions in NCERT books appearing in the examinations becomes high; hence the students should start practicing the NCERT solutions.

### Do I Need to Practice all Questions Provided in class 7 Maths NCERT Solutions The Triangle and its Properties?

Students can experience a range of problems in the NCERT Solutions Class 7 Maths The Triangle and its Properties that are framed around the properties of triangles and finding their angles. Mathematics is a subject that can only be mastered by the dedication and consistent practice. Solving various types of questions aids in the curiosity and exploration of a fresh approach to the concepts.

### What are the Important Formulas in NCERT Solutions Class 7 Maths Chapter 6?

The NCERT solutions class 7 maths chapter 6 contains two key formulas that students should remember. One is the Pythagoras theorem, which asserts that the square of the hypotenuse is equal to the sum of the individual squares of the base and the perpendicular of the right-angled triangle. And the other being the angle sum property stating that the sum of angles in a triangle is equal to 180 degrees.