CBSE Class 10 Maths Chapter 6 – Triangles (2026–27)
Master Chapter 6 – Triangles with comprehensive study notes, NCERT solutions, exercise-wise solutions, MCQs, important questions, PDF downloads, and video lessons based on the latest CBSE Class 10 Mathematics (2026–27) syllabus. Learn about similar triangles, the Basic Proportionality Theorem (Thales’ Theorem), criteria for similarity, and applications of triangle similarity through easy explanations and solved examples.
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Chapter Summary
Triangles introduces students to the concept of similarity of triangles and its practical applications. This chapter explains the Basic Proportionality Theorem (BPT), criteria for the similarity of triangles, and the relationship between the areas of similar triangles. Students also learn about Pythagoras Theorem and its converse, which are important concepts in geometry and frequently appear in the CBSE board examination.
By practicing NCERT exercises, solved examples, MCQs, and important questions, students can strengthen their geometric reasoning and problem-solving skills.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Understand the concept of similar triangles.
- ✅ Apply the Basic Proportionality Theorem (BPT).
- ✅ Use the criteria for triangle similarity.
- ✅ Solve problems involving similar triangles.
- ✅ Find the ratio of areas of similar triangles.
- ✅ Apply Pythagoras Theorem and its converse.
- ✅ Improve geometric reasoning and analytical thinking.
- ✅ Prepare confidently for the CBSE board examination.
Key Topics
- 📐 Similar Figures
- 🔺 Similarity of Triangles
- 📏 Basic Proportionality Theorem (BPT)
- 📘 Criteria for Similarity of Triangles
- 📊 Areas of Similar Triangles
- 📐 Pythagoras Theorem
- 🔄 Converse of Pythagoras Theorem
⭐ Study Resources
📝 Exercise Solutions
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📄 Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
🧠 Mind Map
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Formula Sheet
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📘 NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
📘 Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
📑 Important Questions
Most expected board exam questions with detailed solutions and explanations.
❓ MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
🎥 Video Lessons
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📑 Competency Based Questions
Assertion & Reason and Case Study questions based on the latest CBSE pattern..
📄 PDF Notes
Additional practice questions to improve problem-solving skills and self-assessment.
Exercise Solutions
📘 Exercise 6.1 – Basic Proportionality Theorem (BPT)
Exercise 6.1 introduces the Basic Proportionality Theorem (Thales’ Theorem). Students learn how a line drawn parallel to one side of a triangle divides the other two sides proportionally and solve numerical as well as proof-based questions.
📘 Exercise 6.2 – Similarity of Triangles
Exercise 6.2 focuses on the similarity of triangles. Students learn the AAA, SAS, and SSS similarity criteria, solve problems involving proportional sides, and apply similarity concepts to different geometric situations.
📘 Exercise 6.3 – Areas of Similar Triangles and Pythagoras Theorem
Exercise 6.3 covers the relationship between the areas of similar triangles, Pythagoras Theorem, and its applications. Students solve geometry-based and real-life problems to strengthen their understanding and prepare for the CBSE board examination.
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❓ Frequently Asked Questions
1. What is the main topic of Chapter 6 – Triangles?
Chapter 6 focuses on the similarity of triangles, the Basic Proportionality Theorem (BPT), the criteria for similarity, the relationship between the areas of similar triangles, and the Pythagoras Theorem.
2. How many exercises are there in Chapter 6?
According to the latest CBSE Class 10 Mathematics (2026–27) textbook, Chapter 6 contains three exercises: Exercise 6.1, Exercise 6.2, and Exercise 6.3.
3. What is the Basic Proportionality Theorem (BPT)?
The Basic Proportionality Theorem (BPT) states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, it divides those sides in the same proportion.
4. Are these notes based on the latest CBSE syllabus?
Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.
5. Are NCERT exercise solutions available?
Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.
6. Can I download the Chapter 6 notes as a PDF?
Yes. Free PDF notes and other downloadable study resources are available on this page.
7. Are MCQs and important questions included?
Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.
8.Why is Chapter 6 important for the CBSE board examination?
Chapter 6 is an important geometry chapter in Class 10 Mathematics. Questions based on similar triangles, Basic Proportionality Theorem (BPT), triangle similarity, area relationships, and the Pythagoras Theorem are frequently asked in the CBSE board examination, making this chapter essential for scoring high marks.
9. Are video lessons available for this chapter?
Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.
10. Who can use these study resources?
These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.
11. What are the criteria for the similarity of triangles?
Two triangles are similar if they satisfy any one of the following criteria:
- AAA (Angle–Angle–Angle) Similarity
- SAS (Side–Angle–Side) Similarity
- SSS (Side–Side–Side) Similarity
12. What is the relationship between the areas of similar triangles?
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
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