what is Baudhayan theorem?please explain.
baudhayana(800 bc) was an indian mathematician an author of sulva sutras.he was the first person to proove the pythagoras theorem nearly 3 centuries before pythagoras.many historians now conclude that pythagoras must have copied baudhayana's theorem ecause pythagoras provided no proof for his theorem and there are evidences that pythagoras travelled to egypt and india for knowledge.but baudhayana provided a geometrical proof and also an numerical proof.in 600 bc another mathematician apastamba provided 2 more proofs for pythagoras theorem.A rope stretched along the length of the diagonal produces an area which the vertical and horizontal sides make together.
It was ancient Indians mathematicians who discovered Pythagoras theorem. This might come as a surprise to many, but it’s true that Pythagoras theorem was known much before Pythagoras and it was Indians who actually discovered it at least 1000 years before Pythagoras was born!
It was Baudhāyana who discovered the Pythagoras theorem. Baudhāyana listed Pythagoras theorem in his book called Baudhāyana Śulbasûtra (800 BCE). Incidentally, Baudhāyana Śulbasûtra is also one of the oldest books on advanced Mathematics. The actual shloka (verse) in Baudhāyana Śulbasûtra that describes Pythagoras theorem is given below :
“dīrghasyākṣaṇayā rajjuH pārśvamānī, tiryaDaM mānī, cha yatpṛthagbhUte kurutastadubhayāṅ karoti.”
Baudhāyana also provides a non-axiomatic demonstration using a rope measure of the reduced form of the Pythagorean theorem for an isosceles right triangle: ... Sequences of Pythagorean triples used in cryptography as random sequences and for the generation of keys have been dubbed "Baudhayana sequences" in a 2014 paper.