# Pythagorean Theorem In Ancient Indian Mathematics : Baudhāyana Sulbasūtra

Many great mathematicians have born in Bharat several thousands of years ago, Ancient Indians invented several theorems in mathematics. Aryabhata the Indian Mathematical Genius lived in (476–550 CE) he worked on approximation of pi() and concluded that its irrational, he has given the formula for the area of a triangle, he discussed the concept of sine etc.

But I would like to discuss one of the most popular theorem Pythagorean theorem, it is named as Pythagorean theorem but it was proved by Ancient Indian Mathematicians several hundreds of years before even Pythagoras born. Just look into the sutra given below.

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## Baudhāyana Sulbasūtra

दीर्घचतुरश्रस्याक्ष्णया रज्जु: पार्श्र्वमानी तिर्यग् मानी च यत् पृथग् भूते कुरूतस्तदुभयं करोति ॥

*dīrghachatursrasyākṣaṇayā rajjuḥ pārśvamānī, tiryagmānī,*

*cha yatpṛthagbhūte kurutastadubhayāṅ karoti.*

इसका अर्थ है, किसी आयात का कर्ण क्षेत्रफल में उतना ही होता है, जितना कि उसकी लम्बाई और चौड़ाई होती है। ” बोधायन ” ने ” शुल्ब-सूत्र ” में यह सिद्धान्त दिया है।

A rope stretched along the length of the diagonal produces an area which the vertical and horizontal sides make together

### Check this : Another Indian Genius explains about Pythagorean theorem