Question

State whether the following statement is true or false.
Baudhayana theorem is also called the Sulv theorem.
A. TRUE
B. FALSE

Answer 1

Hint: We write the statement of the Baudhayana theorem and try to check whether it was called the Sulv theorem or not using the information given on Baudhayana theorem.

Complete step-by-step answer:
We first write the statement of Baudhayana theorem.
It states that “In a Deerghchatursh (triangle), the chetra (square) of rajju (hypotenuse) is equal to the sum of squares of the parshwamani (base) and triyangmani (perpendicular line).
It is clear from the statement that the Baudhayana theorem states the Pythagoras theorem where in a right angled triangle square of hypotenuse is equal to sum of square of base and square of perpendicular.
The ‘Baudhayana Sulv Sutra’ or the ‘Baudhayana Sulbasutra’ is noted for containing several early mathematical results including the Pythagoras theorem. The ‘Baudhayana Sulv Sutra’ was written in 800BC and was one of the six texts from the ‘Baudhayana Sutras’ which are vedic texts which cover daily rituals, mathematics, dharma etc. In ‘Baudhayana Sulv Sutra’ we should note that in the example from the sutra the right angles were made by ropes marked to give triads 3,4,5 and 5,12,13 as \[{3^2} + {4^2} = {5^2}\] and \[{5^2} + {12^2} = {13^2}\]. So, we can say that the Baudhayana theorem is also called sulv theorem as it came from the sulv sutra.
Therefore, the statement given in the question is TRUE.
So, option A is correct.

Note: Students might think the given statement is false because baudhayana theorem directly states the Pythagoras theorem but the sulv sutra contains several results on Pythagoras theorem, Pythagorean triplets etc, but since the theorem came from the sulv sutra so it is also called sulv theorem.