Triangles Class 10 | Lecture - 04 Complete Chapter | CBSE , ICSE & UP Board | RISE 2026

🎓 Welcome to Lecture 04 of “Triangles” — one of the most important, concept-heavy, and high-weightage chapters in Class 10 Mathematics!
It lays the foundation for Geometry, Similarity, Trigonometry, and higher-level Geometry used in Class 11–12, JEE, and Olympiads.

In this session, Ehtisham Khan (Founder & Head Faculty, MathSciNet Coaching Institute) teaches the Triangles chapter from zero — in pure Kota-style teaching — focusing on concept clarity, logic building, visualization, and board strategy, all 100% FREE under the RISE Batch on YouTube!

🔍 Complete Topics Covered in This Lecture:

✅ Introduction to Triangles
• What is a Triangle?
• Types of Triangles (By Sides & Angles)
• Basic Concepts: Vertices, Sides, Angles, Altitude, Median
• Relation between Sides & Angles

✅ Similarity of Figures
• Meaning of Similar Figures
• Conditions of Similarity
• Difference between Congruence and Similarity
• Real-Life Examples of Similarity

✅ Similarity of Triangles
• Definition and Concept of Similar Triangles
• Basic Proportionality Theorem (Thales Theorem)
• Converse of BPT
• Applications and Proofs

✅ Criteria for Similarity of Triangles
• AA (Angle-Angle) Criterion
• SSS (Side-Side-Side) Criterion
• SAS (Side-Angle-Side) Criterion
• Understanding through Diagrams & Real Figures

✅ Areas of Similar Triangles
• Theorem on Ratio of Areas of Similar Triangles
• Proof and Derivation Step-by-Step
• Numerical Problems Based on Area Ratios

✅ Pythagoras Theorem & Its Converse
• Statement and Proof using Similar Triangles
• Application in Finding Sides
• Real-Life & Board-Level Examples

✅ Important Results & Corollaries
• Relation between Perimeter and Sides
• Properties of Right-Angled Triangles
• Shortcut Tricks to Solve Problems Fast

✅ NCERT Exercise Coverage (Fully Solved):
• Exercise 6.1 – Introduction to Similarity
• Exercise 6.2 – Criteria for Similarity
• Exercise 6.3 – Areas of Similar Triangles
• Exercise 6.4 – Pythagoras Theorem
• Extra Concept Problems from Exemplar & PYQs

✅ Board Focused Practice:
• NCERT + Exemplar + PYQs
• CBSE Class 10 Board Important Questions
• 1 Mark, 2 Mark & 3–4 Mark Expected Questions
• HOTS & Tricky Concept-Based Problems
• Exam Hacks & Last-Minute Tips

✅ Foundation for JEE / NTSE / Olympiads:
• Similar Triangles in Coordinate Geometry
• Use of Pythagoras Theorem in JEE Geometry
• Concept Extension to Mensuration & Trigonometry

🔥 Why This Class is a Must-Watch:

This lecture builds your complete understanding of Triangles — from basic geometry to advanced similarity proofs — helping you score full marks in boards and strengthen your base for higher-level maths.
Ehtisham Sir’s Kota-style teaching ensures clarity, speed, and exam confidence — no confusion, only crystal-clear maths!

🧠 Best For:
✔ Class 10 – CBSE / ICSE / State Boards
✔ NTSE, Olympiad & JEE Foundation Aspirants
✔ Class 9 Students Preparing Early for Class 10
✔ Anyone who wants crystal-clear understanding of Triangles

🎓 Faculty:
Ehtisham Khan – Founder & Head Faculty, MathSciNet Coaching Institute
🏆 Known for Kota-style clarity, shortcut techniques, and high-result teaching trusted by 1000s of students nationwide.

📚 This Session Includes:
📝 NCERT + Exemplar + PYQs (Fully Solved)
📘 Kota-Style Concept Notes
📊 Daily Practice Problems (DPPs)
📂 Board & Competitive-Level Questions
🧠 Homework + PDF Solutions

📢 Join RISE Batch – India’s Smartest Free YouTube Course for Class 10 Boards + JEE Foundation!

🎯 No Fees. No Login. Just Pure Learning from India’s Best Maths Educator.

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