You are here
Question 3 - Figure it out - Page 39, 40 - Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
Last updated at February 20, 2026 by Teachoo
Figure it out - Page 39, 40
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 3 The hypotenuse of an isosceles right triangle is 10. What are its other two sidelengths? [Hint: Find the area of the square composed of two such right triangles.]Let Side of isosceles triangle be a Now, we know that (Hypotenuse)2 = 2 × Area of square with side a 102 = 2 × a × a 100 = 2 × a2 100/2 = a2 50 = a2 a2 = 50 a = √𝟓𝟎 Thus, other two sidelengths are √𝟓𝟎
