NCERT Solutions for Class 10 Mathematics Chapter 6 Triangles
Mathematics is one of the most important subjects for Class 10 students as it is scoring in nature and many of the concepts learnt here will be further developed in Class 11 and 12. Mathematics is a vast field as there are several mathematical rules and theorems to cover. A good study resource can really help students to prepare and score higher in this subject. The NCERT class 10 Mathematics Chapter 6 Solutions by Extramarks are created by subject matter experts to assist students in preparing for their examinations. These solutions will come handy not only to prepare for exams but also to complete assignments and for last-minute revision. .
Refer to NCERT Solutions for Class 10 Mathematics Chapter 6 Triangles
Extramarks provides detailed NCERT Solutions for Class 10 Mathematics. Since the only way to be good at Mathematics is to solve problems and practice regularly, these solutions can be very useful for students. Extramarks provides detailed solutions to the questions given in NCERT Mathematics textbooks of class 10. All chapters are listed below:
- Chapter 1 – Real Numbers
- Chapter 2 – Polynomials
- Chapter 3 – Pair of Linear Equations in Two Variables
- Chapter 4 – Quadratic Equations
- Chapter 5 – Arithmetic Progressions
- Chapter 6 – Triangles
- Chapter 7 – Coordinate Geometry
- Chapter 8 – Introduction to Trigonometry
- Chapter 9 – Some Applications of Trigonometry
- Chapter 10 – Circles
- Chapter 11 – Constructions
- Chapter 12 – Areas Related to Circles
- Chapter 13 – Surface Areas and Volumes
- Chapter 14 – Statistics
- Chapter 15 – Probability
NCERT Solutions for Class 10 Mathematics Chapter 6 Triangles Details
Chapter 6 of the Class 10 Mathematics textbook covers the following main topics:
Chapter 6 Triangles: 6.1 Introduction
Students in Class 9 were introduced to the concept of triangles and investigated properties such as triangle congruence. The introduction to the chapter essentially acts as a window for students to view what they will learn new under the topic of Triangles.
Chapter 6 Triangles: 6.2 Similar Figures
Students are taught the foundation of resemblance in forms like squares or equilateral triangles with the same side lengths and circles with the same radius. Students will learn that identical figures might have the same shape but not necessarily the same size as they proceed through this lesson. Students are typically asked to prove similarities between figures using theorems in this topic. .
Chapter 6 Triangles: 6.3 Similarity of Triangles
After the students have a basic understanding of the notion of similarity, they get introduced to the criteria for determining if two or more triangles are similar using the Basic Proportionality Theorem.
Chapter 6 Triangles: 6.4 Criteria for Similarity of Triangles
The criterion for triangle similarity gets outlined and explained in this section. The triangles are considered to be comparable when their respective angles are equal, and their corresponding sides have the same ratio. As theorems are illustrated using relevant examples, students will be able to visualise them.
Chapter 6 Triangles: 6.5 Areas of Similar Triangles
This section explains the formula and demonstrates how to calculate the surface area of related triangles. Students can use the different theorems in Mathematics NCERT Class 10 Chapter 6 to calculate the area of similar triangles.
Chapter 6 Triangles: 6.6 Pythagoras Theorem
The Pythagoras theorem is applied to similar triangles in NCERT Solutions for Class 10 Mathematics chapter 6 Triangles. In Class 9, students learned the Pythagoras theorem and how to prove it. Students will learn how to apply this theorem using similarity of triangles in this section.
Chapter 6 Triangles: 6.7 Summary
The summary covers all of the concepts and going through the summary will help you recall everything you learned in the chapter.
List of Exercises in CBSE Class 10 Mathematics Chapter 6
The following is a collection of exercises from Mathematics Class 10 Chapter 6:
- Ex 6.1 – 3 Questions (3 Short Answer Questions).
- Ex 6.2 – 10 Questions (9 Short Answer Questions, 1 Long Answer Question).
- Ex 6.3 – 16 Questions (1 main Question with 6 sub-Questions, 12 Short Answer Questions, 3 Long Answer Questions).
- Ex 6.4 – 9 Questions (2 Short Answer with Reasoning Questions, 5 Short Answer Questions, 2 Long Answer Questions).
- Ex 6.5 -17 Questions (15 Short Answer Questions, 2 Long Answer Questions).
- Ex 6.6 – 10 Questions (5 Short Answer Questions, 5 Long Answer Questions).Optional*- This exercise is not from the examination point of view.
Benefits of Chapter 6 Mathematics Class 10 NCERT Solutions
There are many advantages of using the NCERT solutions of class 10 Mathematics chapter 6:
- The NCERT solutions can be accessed online from Extramark’s official website and used offline as well.
- The solutions are prepared by experienced faculty and subject matter experts keeping in mind the latest CBSE updates regarding the examination pattern who ensure they are reliable, accurate and error-free.
- Extramarks leaves no stone unturned when it comes to providing the best learning material with unmatchable speed and accuracy for students irrespective of the class and subject. We have all the answers to your queries. This encourages the students to master the topic and increases their confidence in achieving a high grade
Conclusion
NCERT Class 10 Mathematics Chapter 6 answers are a dependable, reliable, and authentic source of information for the students. They will definitely benefit, if they start using NCERT solutions on a regular basis and especially when they are stuck on a question, theorem, or example to cross-check their answer and clarify their doubts.
Related Question/Answer
Question: State whether the following quadrilaterals are similar or not:
Answer: :
From the given two figures, we can see their corresponding angles are different or unequal. Therefore, they are not similar.