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Question 6 - Figure it out - Page 52, 53, 54 - Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
Last updated at February 23, 2026 by Teachoo
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
- Pythagorean triples
- Figure it out - Page 50
- A Long-Standing Open Problem
- Further Applications of the Baudhāyana - Pythagoras Theorem
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Figure it out - Page 52, 53, 54
Transcript
Question 6 Give 5 examples of rectangles whose sidelengths and diagonals are all integers.Let’s draw a rectangle We notice that in ∆ ABD We can apply Pythagoras Theorem Diagonal2 = Length2 + Breadth2 Thus, Length, Breadth and Diagonal are Pythagorean Triples Thus, we can 5 examples of Pythagorean Triples Example 1 – (3, 4, 5) Thus, Length = 3, Breadth = 4, Diagonal = 5 Example 2 – (5, 12, 13) Thus, Length = 5, Breadth = 12, Diagonal = 13 Example 3 – (8, 15, 17) Thus, Length = 8, Breadth = 15, Diagonal = 17 Example 4 – (7, 24, 25) Thus, Length = 7, Breadth = 24, Diagonal = 25 Example 5 – (9, 40, 41) Thus, Length = 9, Breadth = 40, Diagonal = 41
