You are here
Question 4 - 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
-
Figure it out - Page 52, 53, 54
Transcript
Question 4 Is the hypotenuse the longest side of a right triangle? Justify your answer.Yes! By Baudhāyana-Pythagoras Theorem c2 = a2 + b2 Now, Since the square of the hypotenuse (𝑐^2 ) is equal to the sum of the squares of the other two positive numbers. Because you are adding two positive amounts together to get 𝑐^2,𝑐^2 must be strictly larger than both 𝑎^2 and 𝑏^2. Therefore, 𝒄 must be larger than both 𝑎 and 𝑏.
