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The Baudhayana-Pythagoras Theorem — Chapter Summary

CBSE · Class 8 · Mathematics

Summary of The Baudhayana-Pythagoras Theorem for CBSE Class 8 Mathematics. Part of the CBSE Class 8 Mathematics syllabus.

70 questions72 flashcards17 formulas & key relations5 concepts

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Overview

Baudhāyana’s theorem gives a simple and powerful relation for right-angled triangles: the square of the hypotenuse is equal to the sum of the squares of the other two sides. The chapter begins with doubling a square, then uses that idea to find the hypotenuse of an isosceles right triangle, study th

Key Concepts

A square cannot be doubled by

A square cannot be doubled by doubling its side length, because that makes the area 4 times larger. The correct construction uses the diagonal of the

If PEAR is a unit square

If PEAR is a unit square, then the square REST on its diagonal has area 2 sq. units. This gives c^2 = 2 and therefore c = √2 for the hypotenuse of the

√2 lies between 1 and 2

√2 lies between 1 and 2, and more closely between 1.414 and 1.415. It has a non-terminating decimal expansion and cannot be written as a fraction m/n.

If √2 = m/n

If √2 = m/n, then 2n² = m². This is impossible because a square number must have even powers of prime factors, so √2 cannot be expressed as a fraction

For equal sides of length

For equal sides of length a and hypotenuse c, the relation is c² = 2a².

Learning Objectives

  • Understand why doubling the side of a square makes the area four times, not twice.
  • Use the diagonal of a square to construct a square of double area.
  • Find the hypotenuse of an isosceles right triangle using area ideas.
  • Understand that √2 is greater than 1, less than 2, non-terminating, and irrational.
  • Apply Baudhāyana’s theorem to right-angled triangles.

Frequently Asked Questions

What are the important topics in The Baudhayana-Pythagoras Theorem for CBSE Class 8 Mathematics?
Key topics in The Baudhayana-Pythagoras Theorem include Doubling a Square, Halving a Square, Hypotenuse of an Isosceles Right Triangle and sqrt(2), Combining Two Different Squares. Study these first, then practise questions on each for Class 8 exams.
How should I revise The Baudhayana-Pythagoras Theorem for Class 8 exams?
Learn the core ideas first, then work through the 70 practice questions on The Baudhayana-Pythagoras Theorem. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for The Baudhayana-Pythagoras Theorem

All CBSE Class 8 Mathematics Chapter Summary

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