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NCERT Class 10 Math Chapter 6: त्रिभुज PDF Download

NCERT Class 10 Math Chapter 6 त्रिभुज (Triangles) is one of the most important chapters in geometry. This chapter focuses on the properties of triangles, similarity of triangles, criteria for similarity, areas of similar triangles, and Pythagoras theorem. It builds on the knowledge gained in earlier classes and helps students understand how shapes can be

NCERT Class 10 Math Chapter 6: त्रिभुज PDF Download

NCERT Class 10 Math Chapter 6 त्रिभुज (Triangles) is one of the most important chapters in geometry. This chapter focuses on the properties of triangles, similarity of triangles, criteria for similarity, areas of similar triangles, and Pythagoras theorem. It builds on the knowledge gained in earlier classes and helps students understand how shapes can be compared and analysed mathematically. The chapter is not only theoretical but also full of problem-solving opportunities that are often asked in board exams.

I wanted to write about this chapter because triangles form the backbone of geometry in Class 10. Most students find this topic challenging at first, but once the concepts of similarity and the use of theorems are clear, the problems become easy to solve. Personally, when I studied this chapter, I realised how important it is not only for board exams but also for higher classes where geometry and trigonometry go hand in hand. By practising the NCERT exercises and examples, students can gain confidence, improve their logical thinking, and prepare well for exam questions. That is why having the NCERT PDF is valuable for every student.

Key Topics in Chapter 6 त्रिभुज

This chapter covers the following important areas:

  • Similarity of Triangles – Concept of similar figures and conditions for similarity of triangles
  • Criteria for Similarity – AA (Angle-Angle), SSS (Side-Side-Side), SAS (Side-Angle-Side)
  • Theorems on Similarity – Relationship between areas of similar triangles
  • Pythagoras Theorem – Statement and proof, applications in real-life and exam problems
  • Problem Solving – Applying similarity and Pythagoras theorem in numerical questions

Example for Better Understanding

If two triangles have angles equal and the sides around equal angles are in the same ratio, then the two triangles are similar. For instance, a triangle drawn inside a larger triangle parallel to its base divides it proportionally – this is a direct application of the Basic Proportionality Theorem (Thales’ theorem).

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Students can download NCERT Class 10 Math Chapter 6: त्रिभुज PDF from this website.

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NCERT Class 10 Math Chapter 14: प्रायिकता PDF Download

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a

NCERT Class 10 Math Chapter 14: प्रायिकता PDF Download

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a coin, rolling a dice, or drawing cards, which makes the subject more interesting and practical. Since probability questions are common in board exams and are generally considered easy, this chapter is highly important for scoring well.

I am writing about this topic because probability is not only an important part of the Class 10 syllabus but also a concept that students will use in higher studies and real life. From predicting weather conditions to calculating risks in business, probability plays a key role. Many students initially find it confusing, but NCERT presents it in a simple and easy-to-understand manner. By practising from the NCERT book, students can build a strong foundation and develop confidence in solving probability problems. Having the PDF makes it easier for learners to access the chapter anytime, revise formulas, and attempt practice questions before exams.

Key Concepts in Chapter 14 प्रायिकता

This chapter focuses on:

  • The definition of probability
  • Probability of simple events
  • Formula: P(E) = Number of favourable outcomes ÷ Total number of outcomes
  • Practical examples using coins, dice, and cards
  • Application-based word problems

Example Problem

If a dice is thrown once, what is the probability of getting an even number?

  • Total outcomes = 6 (1, 2, 3, 4, 5, 6)
  • Favourable outcomes = 3 (2, 4, 6)
  • Probability = 3/6 = 1/2

Such examples make the concept clear and help students apply the formula correctly.

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Students can download NCERT Class 10 Math Chapter 14: प्रायिकता PDF from this website.

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