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Question 3 - Page 49 - Pythagorean triples - Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
Last updated at February 20, 2026 by Teachoo
Pythagorean triples
Pythagorean triples (Baudhāyana triples)
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Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
- Doubling a square
- Halving a square
- Hypotenuse of an Isosceles Right Triangle
- Decimal Representation of √2
- Figure it out - Page 39, 40
- Formula for Hypotenuse of an Isosceles Right Triangle
- Combining Two squares
- Baudhāyana’s Theorem on Right-angled triangles
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Pythagorean triples
- Figure it out - Page 50
- A Long-Standing Open Problem
- Further Applications of the Baudhāyana - Pythagoras Theorem
- Figure it out - Page 52, 53, 54
Transcript
Question 3 - Page 49 Generate 5 scaled versions of each of these primitive triples. Are these scaled versions primitive?Since (3, 4, 5) , (5, 12, 13), (8, 15, 17) are primitive triples We can form scaled version of them, like From (3, 4, 5): (6, 8, 10), (9, 12, 15), (12, 16, 20), (15, 20, 25), (18, 24, 30) From (5, 12, 13): (10, 24, 26), (15, 36, 39), (20, 48, 52), (25, 60, 65), (30, 72, 78) From (8, 15, 17): (16, 30, 34), (24, 45, 51), (32, 60, 68), (40, 75, 85), (48, 90, 102) Now, the question asks Are these scaled versions primitive? No. By definition, because we multiplied them by a number greater than 1, they now share that number as a common factor
