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