NCERT Solutions for Class 7 Maths Chapter 6 - The Triangle And Its Properties

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NCERT Solutions for Class 7 Maths Chapter 6

List of Topics Covered Under NCERT Solutions for Class 7 Maths Chapter 6 - The Triangle and its Properties

6.1 Introduction

Students may learn about triangles in earlier classes while learning shapes. Here, students can understand what a triangle is, its types, angles and properties. Triangles have two different classifications based on sides and angles. These are Equilateral, Scalene and Isosceles. These are based on sides and Acute Angle, Obtuse Angle and Right Angle triangles.

6.2 Medians of Triangle

In this topic, the median of a triangle is defined as the line which connects the vertex and midpoint of the opposite side. It is explained more clearly in the PDF with an example and a detailed explanation. So, students need to have a glance at NCERT Solutions for Class 7 Maths Chapter 6 PDF. 

6.3 Altitudes of a Triangle

Students need to find out the height of a triangle to learn about the altitudes of the triangle. The altitude can be defined as a line segment having two ends, one at a vertex and the other at the line on the opposite side. Students may have to solve some problems based on these to understand them more clearly.

6.4 Exterior Angle of a Triangle and its Property

Students need to remember a law that states that the exterior angle of a triangle is equal to the sum of opposite interior angles. This is the property of the exterior angle concerning the triangle. NCERT Solution for Class 7 Maths Chapter 6 PDF has explained and derived this law. It is beneficial to check out the PDF once or twice to understand the topic better.

6.5 Angle Sum Property of a Triangle

In this section of NCERT Class 7 Maths Chapter 6 Solutions, students have to learn a crucial property called Angle Sum Property. It deals with all the three angles of a triangle. The sum of all three angles is 180 °. To prove this, students need four activities and can use exterior angle property also.

Two Special Triangles - Equilateral and Isosceles

In the introduction part, as students get aware of different triangles, this section will give a detailed description of the types of triangles based on the sides. They are as follows:

• An equilateral triangle is a triangle in which all three sides are equal. Here the angle is 60°. 

• Isosceles Triangle is a triangle where the two sides are equal. Here the angle might be 45°.

• The Scalene  Triangle is a triangle where all the sides are different from one another.

Sum of the Lengths of Two Sides of Triangle

Here, students need to learn how to find the length of the sides of a triangle and add them. It is vital to find the sum of the lengths of two sides which are greater than the length of the third side. So, to avoid further confusion, students can read the PDF through our official website. NCERT Solutions for Class 7 Maths Chapter 6 PDF is explained with diagrams in detail.

Right Angles Triangle and Pythagoras Property

In this last section, students will learn about another triangle classification based on angles. They are:

• Acute Angle Triangle is a triangle whose one angle is less than 90°.

• The Equilateral Angle Triangle is a triangle whose angle is 60°.

• An Obtuse Angle Triangle is a triangle whose one angle is more than 90°.

• The Right Angle Triangle is the triangle whose one angle is 90°.

These are the classifications. NCERT Solutions for Class 7 Maths Chapter 6 is helpful to read and understand Pythagoras Theorem.

The slanting line, which is opposite the right angle, is known as hypotenuse. The square of the hypotenuse is equal to the squares of the sum of the other two sides. This property is known as Pythagoras Theorem.

Key Learnings from Chapter 6 of Class 7 Maths

• Every triangle has three angles and three sides.

• Three medians can be drawn in a triangle by intersecting the midpoints of two sides of a triangle.

• A line drawn perpendicular to a side of the triangle and vertex is known as an altitude of a triangle. 

• The exterior angle of a triangle is equal to the sum of interior opposite angles. 

• The sum of all three angles of a triangle is 180°. 

• Each angle in an equilateral triangle is 60°.

• In an isosceles triangle, the length of at least two sides is equal.

• In the right-angle triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides. 

• The hypotenuse is the longest side of the right-angle triangle.

Key Features of NCERT Solutions for Class 7 Maths Chapter 6

Students can have several benefits by using NCERT Solutions for Class 7th Maths Chapter 6 PDF with solutions from the official website of Vedantu. All the questions have been answered to make students understand all the concepts with ease. Practising these Chapter 6 Maths Class 11 NCERT Solutions will definitely help in preparing students to give exams and ace the topic. Some more key points are:

• Our NCERT Solutions provides you with a better and simple understanding of complicated topics.

• Our NCERT Solutions are useful to enrich young mathematicians.

• Our Solutions explain everything in simple language to reach out to maximum students.

For students who feel intimidated by the Maths subject and want a comprehensive and detailed study resource to prepare the subject, we have prepared the NCERT Solutions for Class 7 Maths Chapter 6. Our experts at Vedantu have curated these solutions keeping in mind the needs of every child. So, download the free PDF NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties today to get a firm grip on the subject. 

Conclusion 

Vedantu's NCERT Solutions for Class 7 Maths Chapter 6 - "The Triangle and Its Properties" provide an invaluable resource for students seeking a strong foundation in geometry. These solutions are thoughtfully designed to align with the NCERT curriculum, offering comprehensive coverage of triangle-related concepts, theorems, and problem-solving techniques. They offer clear explanations and step-by-step solutions to aid in students' understanding and mastery of the subject.

Vedantu's dedication to quality education is evident in these solutions, making them an essential tool for Class 7 students. By utilising these NCERT Solutions, students can enhance their geometric skills, critical thinking abilities, and exam readiness, ultimately fostering a deeper appreciation for the fascinating world of mathematics.