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The Baudhayana-Pythagoras Theorem

CBSE · Class 8 · Mathematics

Complete topic list for The Baudhayana-Pythagoras Theorem in CBSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

70 questions72 flashcards5 concepts

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4 Topics · CBSE Class 8 Mathematics

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

Frequently Asked Questions

What are the important topics in The Baudhayana-Pythagoras Theorem for CBSE Class 8 Mathematics?
The Baudhayana-Pythagoras Theorem covers several key topics that are frequently asked in CBSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in The Baudhayana-Pythagoras Theorem — CBSE Class 8 Mathematics?
Understand the core concepts first, then work through the 70 practice questions available for this chapter. Revise formulas and 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 14 chapters — CBSE Class 8 Mathematics Syllabus

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