The Baudhayana-Pythagoras Theorem
CBSE · Class 8 · Mathematics
All formulas from The Baudhayana-Pythagoras Theorem in CBSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
1. Doubing and Halving a Square
Area of REST = 2 × Area of PEAR = 2 × 1 = 2 sq. units
Doubling the side length of a square makes its area 4 times the original
PQRS has half the area of the original square
2. Isosceles Right Triangle and √2
Hypotenuse of unit isosceles right triangle: c^2 = 2, so c = √2
1 < √2 < 2
√2 ≈ 1.41421356...
General isosceles right triangle relation: c^2 = 2a^2
3. Combining Two Squares and the Main Theorem
Baudhāyana's Theorem: a^2 + b^2 = c^2
The area of the square produced by the diagonal is the sum of the areas of the squares produced by the two sides
3^2 + 4^2 = 5^2
4. Integer Triples and Patterns
(3k)^2 + (4k)^2 = 9k^2 + 16k^2 = 25k^2 = (5k)^2
(n - 1)^2 + (2n - 1) = n^2
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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