Q. What does Baudhayan theorem (Baudhayan Sulva Sutra) relate to? (UPSC Prelims 2008)
Answer:
Lengths of sides of a right-angled triangle
Notes: The Baudhayana Sulba Sutra, an ancient Indian Vedic text from around 800 BCE, contains the earliest known statement of the Pythagorean theorem, predating Pythagoras. It states that the diagonal of a rectangle produces the same area as the sum of the areas produced by its sides, relating to the lengths of sides in a right-angled triangle (a² + b² = c²). This was used for constructing precise altars. Options 2, 3, and 4 are incorrect, as pi approximations appear in later Sulba Sutras and logarithms and normal distribution are modern concepts from the 17th to 19th centuries.