You are here
Example 1 - Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
Last updated at August 14, 2026 by Teachoo
Formula for Hypotenuse of an Isosceles Right Triangle
Ganita Prakash Class 8 - Part 1, 2
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 โ2
- Figure it out - Page 39, 40
-
Formula for Hypotenuse of an Isosceles Right Triangle
- Combining Two squares
- Baudhฤyanaโs Theorem on Right-angled triangles
- Pythagorean triples
- Figure it out - Page 50
- A Long-Standing Open Problem
- Further Applications of the Baudhฤyana - Pythagoras Theorem
- Figure it out - Page 52, 53, 54
Transcript
Example 1 Find the hypotenuse of an isosceles right triangle whose equal sides have length 12.Our figure looks like Now, we know that ๐^๐=๐๐^๐ Putting values c^2=2 ร (12)^2 c^2=2 ร 144 c^2=288 ๐=โ๐๐๐ Finding bounds We know that ใ๐๐ใ^๐=258 (too small) ใ๐๐ใ^๐=289 (too big) So, โ๐๐๐ is between 16 and 17 We can write 16 < Hypotenuse (โ๐๐๐) < 17 The length of the hypotenuse of an isosceles right triangle, whose length of the equal sides is 12 units, is between 16 and 17 units.
