Questions & Answers

Pythagoras Theorem statement is found in oldest sulva sutra known as bodhayan sulva sutra
A. True
B. False

Answer Verified Verified
Hint: Baudhayan sulva sutra (1000BC) is today known as the Pythagoras theorem, which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the of the square of the other two sides. The rule was known to a number of ancient civilizations, including also the Greek and the Chinese, and was recorded in Mesopotamia as far back as 1800 BCE. For the most part, the sulbasutra do not contain proofs of the rules which they describe. A rope stretched along the length of the diagonal produces an area which the vertical and horizontal slides make together.

The diagonal and sides referred to are those of a rectangle, and the areas are those of the squares having these line segments as their sides. Since the diagonal of a rectangle is the hypotenuse of the right angle triangle formed by two adjacent sides, the statement is seen to be equivalent to the Pythagoras Theorem.

Complete step-by-step answer:

Now, in the above question it is true that Pythagoras Theorem statement is found in the oldest sulva sutra known as bodhayan sulva sutra.

Note: Bodhayan also provides a statement using a rope measure of the reduced form of the Pythagoras theorem for an isosceles right angle.
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