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The Baudhayana-Pythagoras Theorem — Syllabus

CBSE · Class 8 · Mathematics

What The Baudhayana-Pythagoras Theorem covers in CBSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Topics include Doubling a Square, Halving.

70 questions72 flashcards17 formulas & key relations5 concepts

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4 Topics · CBSE Class 8 Mathematics · 2026-27

Topics in The Baudhayana-Pythagoras Theorem

1

1. Doubling a Square

  • Doubling the side length of a square makes the area 4 times the original, not double.
  • The correct way to make a square of double area is to use the diagonal of the original square.
  • The square on the diagonal has twice the area of the original square.
2

2. Halving a Square

  • A square of half the side length does not have half the area of the original square.
  • The correct half-area square is formed by folding the square paper inward through the midpoints of the sides.
  • The smaller square PQRS has exactly half the area of the original square.
3

3. Hypotenuse of an Isosceles Right Triangle and sqrt(2)

  • In an isosceles right triangle, the two shorter sides are equal.
  • If each equal side is 1 unit, then the hypotenuse is sqrt(2) units.
  • The decimal value of sqrt(2) lies between 1 and 2.
4

4. Combining Two Different Squares

  • Baudhāyana gave a method to combine two different squares into one larger square.
  • The area of the new square equals the sum of the two smaller square areas.
  • The side of the new square is the hypotenuse of a right triangle whose shorter sides are the sides of the two smaller squares.

Key Concepts

Central concept: Baudhāyana-Pythagoras Theorem for right-angled triangles and square constructions

Doubling a squareHalving a squareHypotenuse of an isosceles right triangleCombining two different squaresBaudhāyana triplesPatterns in triplesFermat’s Last TheoremHistorical development

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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.

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All CBSE Class 8 Mathematics Syllabus

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