CBSE · Class 8 · Mathematics · Chapter 9
The Baudhayana-Pythagoras Theorem
Explore the relationship between the sides of right triangles and its geometric and historical foundations.
Start chapterLessons in this chapter
- 1Doubling and Halving a SquareUse diagonals, congruent triangles, and midpoint constructions to double or halve a square’s area.
- 2Hypotenuse of an Isosceles Right TriangleDiscover the exact length √2, estimate square roots, and calculate sides of isosceles right triangles.
- 3Combining Two Different SquaresRearrange the areas of two unequal squares to discover and justify the Baudhāyana–Pythagoras theorem.
- 4Using Baudhāyana’s TheoremFind unknown sides, estimate non-integer lengths, and check calculations using the right-angle condition.
- 5Right Triangles Having Integer SidelengthsRecognise integer triples, generate scaled versions, and distinguish primitive triples from their multiples.
- 6Generating Triples and Exploring Higher PowersUse sums of odd numbers to generate primitive triples and explore how Fermat extended the question to higher powers.
- 7Further Applications of the Baudhāyana–Pythagoras TheoremFind hidden right triangles in rectangles, rhombi, equilateral triangles, and the lotus problem.
- 8Constructing Squares and Exploring Dot GridsConstruct squares with specified area sums and differences, then investigate which areas can occur on a dot grid.
- 9Chapter Summary and PracticeRevisit the complete chapter, connect its methods, correct misconceptions, and solve mixed problems with full reasoning.