Question 4 - 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 4 - Page 49 If (a, b, c) is non-primitive, and the integers have f — greater than 1 — as a common factor, then is (𝑎/𝑓, 𝑏/𝑓, 𝑐/𝑓 ) a Baudhāyana triple? Check this statement for (9, 12, 15). Justify this statement.Yes. We are just scaling down instead of up. Example: For (9, 12, 15), the common factor 𝒇=𝟑. Scaling down (𝟗/𝟑,𝟏𝟐/𝟑,𝟏𝟓/𝟑)=(𝟑, 𝟒 ,𝟓) And we already know (3,4,5) is a valid triple.
