The Baudhayana Pythagoras Theorem Notes and Figure It Out Part 1 | Class 8 Ganita Prakash-II

In this video, we explore the Baudhayana-Pythagoras Theorem from Class 8 Mathematics, Ganita Prakash (Part 2). Learn how to apply the theorem to solve questions involving right-angled triangles, find missing side lengths, and understand Baudhayana triples with step-by-step explanations. This video covers the Figure It Out questions, practical triangle construction, and the relationship between the sides of a right-angled triangle. It also introduces Baudhayana triples and helps you understand how to identify and find them. Topics covered: The Baudhayana-Pythagoras Theorem Finding the hypotenuse of a right-angled triangle Finding a missing side when the hypotenuse is given Solving numerical problems using the theorem Constructing squares with areas three times and five times the area of a given square Finding Baudhayana triples with numbers less than or equal to 20 Finding Scaled Pythagorean triple 0:00 Introduction 0:35 What is Right Angled Triangle? 2:58 What is the Baudhayana Pythagoras Theorem? 6:23 Check whether a triangle with sides 3 cm, 4 cm, and 5 cm is right-angled. 7:56 Figure It Out Questions 7:58 Q1. If a right-angled triangle has shorter sides of lengths 5 cm and 12 cm, then what is the length of its hypotenuse? First draw the right-angled triangle with these sidelengths and measure the hypotenuse, then check your answer using Baudhayana’s Theorem. 10:42 Q2. If a right-angled triangle has a short side of length 8 cm and hypotenuse of length 17 cm, what is the length of the third side? Again, try drawing the triangle and measuring, and then check your answer using Baudhayana’s Theorem. 13:05 Q3. Using the constructions you have now seen, how would you construct a square whose area is triple the area of a given square? Five times the area of a given square? (Baudhayana’s Śulba-Sūtra, Verse 1.10) 15:03 Q4. Let a, b and c denote the length of the sides of a right triangle, with c being the length of the hypotenuse. Find the missing sidelength in each of the following cases: (i) a = 5, b = 7 (ii) a = 8, b = 12 (iii) a = 9, c = 15 (iv) a = 7, b = 12 (v) a = 1.5, b = 3.5 16:37 What are Baudhayana triples 17:30 Check whether a triangle with sides 5 cm, 12 cm, and 13 cm is right-angled. 18:52 What are Scaled Baudhayana triples? 21:03 What are Primitive triples? 22:30 What are Non-Primitive triples? 23:10 How to generate more Primitive triples? 26:18 Q5. List down all the Baudhayana triples with numbers less than or equal to 20. Watch the complete video to understand the concepts and solve these questions confidently. For Class 8 Mathematics notes, worksheets, quizzes, sample papers, and more learning resources, visit: https://thebusybrains.in Subscribe to The Busy Brains for more educational videos, mathematics explanations, revision notes, and practice questions. #Class8Mathematics #GanitaPrakash #BaudhayanaTheorem #PythagorasTheorem #BaudhayanaTriples #NCERTClass8 #TheBusyBrains