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Chapter Summary

The Baudhayana-Pythagoras Theorem

CBSE · Class 8 · Mathematics

Summary of The Baudhayana-Pythagoras Theorem for CBSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

70 questions72 flashcards5 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?
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.

More resources for The Baudhayana-Pythagoras Theorem

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