Study MaterialsNCERT SolutionsNCERT Solutions for Class 10 MathsNCERT Solutions for Class 10 Maths Chapter 6 Triangles

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

Here you will find NCERT Solutions for Class 10 Maths Chapter 6 Triangles, which is regarded as one of the most important study materials for CBSE Class 10 students. According to the new CBSE Syllabus for 2021-22, Chapter 6 of NCERT Solutions for Class 10 Maths is organized under the first term of Class 10 Maths. It covers a wide range of topics and contains several rules and theorems. When it comes to answering a question, students frequently get confused about which theory to utilize.

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    INFINITY learns answers are written in such a way that each step in addressing an issue is clearly and thoroughly explained. The NCERT Class 10 Maths Solutions have been created by subject specialists to aid students in their first-term test preparation. These solutions can be used not just to prepare for exams, but also to solve problems.

    The NCERT Solutions for Chapter 6 Triangles of Class 10 Maths is one of the best resources to prepare and equip oneself to solve any type of question in the exam, from the chapter. The CBSE Class 10 examination frequently asks questions, either directly or indirectly, from the NCERT textbooks, and thus the NCERT Solutions for Chapter 6 Triangles of Class 10 Maths is one of the best resources to prepare and equip oneself to solve any type of question in the exam, from the chapter. It is strongly advised that students practice these NCERT Solutions on a daily basis to excel in the first and second-term examinations in Class 10.

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      6. Triangles

      NCERT solution of Class 10 Maths Chapter 6 Triangles

      Triangles are part of the Unit Geometry, which accounts for 15 of the total 80 marks in NCERT Solutions Class 10 Maths Chapter 6. According to the new CBSE Class 10 Syllabus for 2021-22, this chapter falls under the first term’s Unit-Geometry and has the second-highest weightage. To do well in the first term test in Class 10 Maths, you must have a thorough comprehension of the ideas, theorems, and problem-solving procedures covered in this chapter.

      Following are the topics and subtopics that are covered in this chapter:

      6.1 Introduction

      You are familiar with triangles and many of their properties from previous classes. You spent a lot of time in Class 9 learning about triangle congruence. We’ll look at figures that have the same shape but aren’t always the same size in this chapter. Similar figures are two figures that have the same shape (although not necessarily the same size). We will analyze the resemblance of triangles in detail, and use this information to give a basic proof of the Pythagoras Theorem.

      6.2 Similar Figures

      All circles with the same radii are congruent, as are all squares with the same side lengths and all equilateral triangles with the same side lengths, as you learned in Class 9. By engaging in a related action, the topic explains the resemblance of figures. Two figures that are similar in shape but not necessarily in size are said to be similar.

      6.3 Similarity of Triangles

      The subject brings up triangles and their resemblances. If (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio, two triangles are comparable (or proportion). It illustrates the Basic Proportionality Theorem and discusses many theorems while engaging in various activities.

      6.4 Criteria for Similarity of Triangles

      We stated in the previous section that two triangles are comparable when their respective angles are equal and their corresponding sides have the same ratio (or proportion). The course addresses the criterion for triangle similarity, referencing concepts covered in previous classes. It also includes several theorems that are demonstrated with appropriate illustrations.

      6.5 Areas of Similar Triangles

      You know that the ratio of the corresponding sides of two comparable triangles is the same. The item Areas of Similar Triangles includes a theorem as well as examples that can be used to demonstrate the theory.

      6.6 Pythagoras Theorem

      From previous classes, you are already familiar with the Pythagoras Theorem. This theorem’s proof was also seen in Class 9. We’ll now use the concept of triangular similarity to prove this theorem. As a result, the theorem is tested through a variety of activities, and it is applied to a variety of problems.

      6.7 Summary

      The points you learned in the chapter are summarised in the summary. Going over the topics in the summary will help you remember all of the chapter’s essential concepts and theorems.

      Triangle is one of the most engaging and exciting chapters in the unit Geometry because it introduces us to the various features and concepts associated with the geometrical figure triangle. A triangle is a three-sided flat shape with three angles. This chapter includes a variety of issues and sub-topics relating to triangles, such as extensive explanations of comparable figures, several theorems linked to triangle similarities with proof, and the areas of similar triangles. The Pythagoras theorem is explained at the end of the chapter, as well as how to apply it to issues. To discover more about Triangles and the concepts contained in it, read Chapter 6 of the NCERT textbook for Class 10 Maths. To do well in both the first and second tests, make sure you master the NCERT Solutions for Class 10 thoroughly.

      Key Features:

      • Assists in ensuring that pupils use concepts when addressing difficulties.
      • Encourages children to come up with a variety of problem-solving solutions.
      • For some questions that are difficult to answer, hints are provided.
      • Aids pupils in determining whether or not the answers they provided for the questions are correct.

      Also Access
      NCERT Exemplar for Class 10 Maths Chapter 6 Triangle
      CBSE Notes for Class 10 Maths Chapter 6 Triangle

      FAQ:

      Why should we learn all of the concepts included in Chapter 6 of NCERT Solutions for Class 10 Maths?

      Questions based on the exam format and practice question paper are provided in Chapter 6 of NCERT Solution Maths. As a result, all of the ideas covered in NCERT Solutions for Class 10 Maths Chapter 6 must be understood.

      What are the major subjects covered in Chapter 6 of NCERT Solutions for Class 10 Maths?

      Introduction to triangles, comparable figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, and the Pythagoras Theorem are among the subjects covered in the chapters. From the standpoint of an exam, these principles are crucial. It is entirely based on the CBSE’s most recent syllabus for 2021-22, as well as the CBSE’s question paper design and grading scheme.

      In NCERT Solutions for Class 10 Maths Chapter 6, how many exercises are there?

      In NCERT Solutions for Class 10 Maths Chapter 6, there are six exercises. The first exercise contains three questions, the second exercise contains ten questions, the third exercise contains sixteen questions, the fourth exercise contains nine questions, the fifth exercise contains seventeen questions, and the final or sixth exercise contains ten questions based on triangle concepts.

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