In any right-angled triangle with legs a and b and hypotenuse c, the areas of the squares on the two legs add up to the square on the hypotenuse, so a squared plus b squared equals c squared. Class 8 Mathematics Chapter 2 The Baudhayana-Pythagoras Theorem builds this idea step by step. These class 8 maths handwritten notes.

  • CBSE Class 8 Weightage: a scoring chapter in the Mathematics paper, asked in short and long answers.
  • What the notes cover: doubling a square using its diagonal, halving a square, hypotenuse of an isosceles right triangle, the number root 2 and its decimal value.
  • Best for: quick revision before Class 8 exams and a strong base for Class 9.

You can read the complete class 8 maths handwritten notes for The Baudhayana-Pythagoras Theorem, with key terms, boxed definitions, and quick revision points, in the PDF below.

These handwritten notes are written by subject teachers, mapped to the 2026-27 NCERT, and checked against the last five years of CBSE Class 8 Mathematics papers.

Key Terms and Ideas in The Baudhayana-Pythagoras Theorem

These are the terms and ideas the exam asks about most. Learn each one so you can define it and use it in your answers.

Term / IdeaWhat it means
Hypotenusethe side opposite the right angle, the longest side
Baudhayana's theorema squared plus b squared equals c squared for a right triangle
Doubling a squarethe square on the diagonal has double the area
Isosceles right triangleequal legs of length a give hypotenuse squared equal to 2 a squared
Root 2the length of the diagonal of a unit square, about 1.41421356
Baudhayana triplethree whole numbers a, b, c with a squared plus b squared equal to c squared
Primitive triplea triple with no common factor greater than 1, like 3, 4, 5
Fermat's Last Theoremno whole number solutions of x to the n plus y to the n equal z to the n for n greater than 2
Remember: For a right triangle, a squared plus b squared equals c squared, where c is the hypotenuse; the triple 3, 4, 5 is the simplest example.
Watch Out: Doubling the side of a square does not double its area; the area becomes four times larger, so use the diagonal to get double the area.

What the The Baudhayana-Pythagoras Theorem Handwritten Notes Cover

This chapter follows an ancient Indian idea from Baudhayana about squares and right triangles. You will double and halve squares, find the hypotenuse of a right triangle, meet the number root 2, and reach the famous result a squared plus b squared equals c squared.

  • Doubling a square using its diagonal
  • Halving a square
  • Hypotenuse of an isosceles right triangle
  • The number root 2 and its decimal value
  • Why root 2 is not a fraction
  • Combining two different squares
  • Baudhayana's theorem on right triangles
  • Baudhayana and Pythagorean triples
  • Primitive triples
  • Fermat's Last Theorem story
Concept: In any right-angled triangle with legs a and b and hypotenuse c, the areas of the squares on the two legs add up to the square on the hypotenuse, so a squared plus b squared equals c squared.

The Baudhayana-Pythagoras Theorem Topic-wise Weightage for CBSE Class 8 Mathematics

Some parts of this chapter are asked more often than others. The table below shows which sub-topics to revise first, based on recent CBSE Class 8 question trends.

Sub-topicWeightageCBSE Frequency
Using a squared plus b squared equals c squaredHighasked often
Finding a missing side of a right triangleHighasked often
Hypotenuse of an isosceles right triangleMediumasked sometimes
Baudhayana and Pythagorean triplesMediumasked sometimes
Doubling and halving a squareMediumasked sometimes
Why root 2 is not a fractionLowasked rarely

How Collegedunia's Handwritten Notes Help You Revise The Baudhayana-Pythagoras Theorem

These notes are made for the night before the exam. They keep the facts short and easy to scan. Collegedunia maps every point to the 2026-27 NCERT.

  • Clear handwriting: each topic is written in neat, easy-to-read handwriting.
  • Boxed key terms: the main terms and definitions are boxed by hand for fast recall.
  • Diagrams and tables: simple hand-drawn tables and charts make ideas clear.
  • Colour-coded headings: new sub-topics stand out, so you find any section in seconds.

The Baudhayana-Pythagoras Theorem Self-Assessment Quiz

Try these quick questions after you read the notes. Tap each question to check your answer. They cover the points CBSE asks most often.

A right triangle has legs 3 and 4. Its hypotenuse is?

(a) 5 (b) 6 (c) 7 (d) 12

Answer: (a) 5 - since 9 plus 16 equals 25

The hypotenuse of an isosceles right triangle with legs 1 is?

(a) 1 (b) 2 (c) root 2 (d) root 3

Answer: (c) root 2 - since c squared equals 2

Which of these is a Baudhayana triple?

(a) 2, 3, 4 (b) 5, 12, 13 (c) 4, 5, 6 (d) 6, 7, 8

Answer: (b) 5, 12, 13 - since 25 plus 144 equals 169

The square on the diagonal of a square has how many times the area?

(a) 1 (b) 2 (c) 3 (d) 4

Answer: (b) 2 - the diagonal square is double the area

Which triple is primitive?

(a) 6, 8, 10 (b) 9, 12, 15 (c) 3, 4, 5 (d) 12, 16, 20

Answer: (c) 3, 4, 5 - it has no common factor above 1

How to Use These Handwritten Notes for Class 8 Mathematics Revision

Use these class 8 maths handwritten notes in two passes. Read them slowly once for the full chapter. Then, near the exam, read only the boxes and key terms for a fast recall.

  • Read the notes once with the NCERT chapter open beside you.
  • Say each key term and idea in your own words.
  • Practise one long-answer question from a past paper.
  • On the last day, revise only the key terms and the boxes.

Class 8 Mathematics Handwritten Notes for All Chapters

The table below links the class 8 maths handwritten notes for every chapter. Use it to jump to any other chapter's notes.

The Baudhayana-Pythagoras Theorem Class 8 Mathematics Handwritten Notes FAQs

Ques. Where can I download The Baudhayana-Pythagoras Theorem Class 8 Mathematics Handwritten Notes PDF?

Ans. You can download the The Baudhayana-Pythagoras Theorem Class 8 Mathematics Handwritten Notes PDF directly from this page. Both the Normal and HD versions are free.

Ques. Are these handwritten notes aligned with the 2026-27 NCERT?

Ans. Yes. These notes follow the current 2026-27 syllabus for Class 8 Mathematics. why 3, 4, 5 always makes a right angle

Ques. How many pages is the Class 8 Mathematics The Baudhayana-Pythagoras Theorem Handwritten Notes PDF?

Ans. The notes run about 20 pages. They cover the full chapter with key terms, hand-drawn boxes, and a short self-assessment quiz.

Ques. What is the main idea of the 8th standard Mathematics chapter The Baudhayana-Pythagoras Theorem?

Ans. The main idea is Baudhayana's result that in a right triangle the squares on the two shorter sides add up to the square on the hypotenuse. This lets you find any missing side and recognise whole-number triples like 3, 4, 5 that form right angles.

Ques. Are these The Baudhayana-Pythagoras Theorem notes enough for the CBSE Class 8 exam?

Ans. Yes, for revision. The Collegedunia handwritten notes cover every key point and exam term. Read them with the NCERT chapter and practise past questions.