Class 8 NCERT • Ganita Prakash Part 2 Portal (New Syllabus)
Ch 02: The Baudhāyana-Pythagoras Theorem
Select a topic or study module below to explore doubling and halving squares, isosceles right triangles, combining square areas, Baudhāyana integer triples, geometric proofs, practical applications, and step-by-step textbook solutions.
Topic 01 • Doubling a Square
Constructing Squares with Double the Area Using Diagonals and Geometric Subdivisions
Topic 02 • Halving a Square
Techniques to Shrink Areas Precisely by Half Using Midpoints and Diagonal Cuts
Topic 03 • Isosceles Right Triangles
Analyzing Relationships Between Perpendicular Sides and Hypotenuse Lengths
Topic 04 • Combining Squares
Geometrically Assembling Right Triangles to Sum Square Areas Leading to a² + b² = c²
Topic 05 • Baudhāyana Triples
Exploring Baudhāyana Triples and Primitive Integer Combinations Satisfying Pythagorean Rules
Topic 06 • Historical Perspectives
Historical Discussions, Śulba-Sūtra Verses and Mathematical Proofs Surrounding Right Angles
Topic 07 • Real-World Applications
Calculating Diagonal Dimensions for Rectangles, Rhombus Properties & Structural Distance Problems
Module 08 • Solutions & Quiz