PROOF OF PYTHAGORAS THEOREM | Step-by-Step Explanation and Solved Questions скачать в хорошем качестве

PROOF OF PYTHAGORAS THEOREM | Step-by-Step Explanation and Solved Questions

PROOF OF PYTHAGORAS THEOREM | Step-by-Step Explanation and Solved Questions Welcome to Dynamic Educational Channel 🎓 In this video, we’ll prove the Pythagoras Theorem step by step using visual methods, geometry, and calculations. You’ll also learn how to apply the theorem to solve real-life triangle problems with whole numbers and decimals. This video builds on our previous trigonometry lesson and helps you understand the relationship between the sides of a right-angled triangle with clear examples and geometric construction. Perfect for WAEC, NECO, JAMB, IGCSE, GCSE, and JEE students. 🕒 Timestamps / Chapters 00:00:02 – 00:00:38 | Introduction and Channel Overview Discover the wonders of Mathematics and Science as we explore how learning reveals deeper mysteries of nature. Welcome to Dynamic Educational Channel — your home for Physics, Chemistry, and Mathematics. 00:00:38 – 00:01:21 | Lesson Overview & Theorem Introduction The video continues from the previous trigonometry lesson, solving a quick quiz and introducing the Pythagoras Theorem for deeper understanding. 00:01:21 – 00:03:38 | Converting Degrees to Radians Learn how to convert angles from degrees to radians using π (pi) — including examples for 30°, 60°, 90°, and 135°. 00:03:38 – 00:04:27 | Introduction to Pythagoras Theorem Understand the meaning and origin of the Pythagoras Theorem, its connection to right-angled triangles, and why it’s a cornerstone of Geometry. 00:04:27 – 00:07:57 | Proof Using Unit Squares (Visual Method) Watch the theorem come alive as we prove it visually using unit squares and rotation — showing how 3² + 4² = 5² and 6² + 8² = 10². 00:07:57 – 00:10:19 | Mathematical Verification with Examples Confirm the theorem through actual calculation — demonstrating that the sum of the squares of two sides equals the square of the hypotenuse. 00:10:19 – 00:12:40 | Proof Using Decimal Measurements Learn how to verify the theorem with decimal values, measuring sides 6.3 and 5.4 to find a hypotenuse of 8.3 — proving accuracy through computation. 00:12:40 – 00:15:16 | Hypotenuse Definition and Theorem Verification Understand what the hypotenuse is and verify its relationship mathematically: C2=A2+B2C^2 = A^2 + B^2C2=A2+B2. 00:15:16 – 00:17:39 | Angles and Triangle Properties Explore alternate interior angles and their role in right-angled triangles using rotations and compass constructions. 00:17:40 – 00:19:49 | Constructing and Measuring Triangles Practical construction of right-angled triangles and experimental verification of the theorem using actual measurements. 00:19:49 – 00:21:15 | Summary of Pythagoras Theorem & Formula Variations Summarize the theorem: the square of the hypotenuse equals the sum of the squares of the other two sides. Learn how to rearrange formulas to find missing sides. 00:21:15 – 00:22:57 | Pythagorean Triplets and Multiples Discover common Pythagorean triplets like (3,4,5), (6,8,10), (5,12,13), and how multiples of these numbers also satisfy the theorem. 00:22:57 – 00:25:23 | Solving Triangle Problems Apply the theorem to find missing sides of triangles — including examples with integer and decimal sides. 00:25:23 – 00:25:27 | Conclusion and Next Lesson Thanks for watching! Stay tuned for the next video on Trigonometric Ratios (Sine, Cosine, Tangent) and don’t forget to subscribe for more smart math lessons. 🧮 What You’ll Learn ✅ Proof and applications of Pythagoras Theorem ✅ How to identify and calculate the hypotenuse ✅ Using unit squares and rotation methods for proofs ✅ Working with decimal and whole number values ✅ Understanding Pythagorean triplets and relationships #pythagorastheorem #igcse2026 #trigonometryclass10 #geometrylessons #trigonometrybasics #mathsforbeginners #class10maths #class11maths #igcse2026 #mathstutorials #rightangletriangle #jamb2026 #apmaths 🎥 Watch Next 👉 [Next Video: Trigonometric Ratios (Sine, Cosine, and Tangent) Explained] 📢 Don’t forget to LIKE, SUBSCRIBE, and TURN ON NOTIFICATIONS 🔔 Let’s learn Mathematics and Trigonometry the Smart Way! 💡