Pythagorus Theorem in Vedas

The wellknown fundamental theorem of Euclidean geometry, Pythagoras theorem for right angles triangles,is discussed in Baudhāyana Sulvasūtra, written centuries before Pythagorus(6th century BCE)Baudhāyana Sulvasūtra are group of Vedic verses which belong to Taittiriya branch of Krishna Yajurveda. 



Pythagorus theorem is also referred as Baudhayana theorem. It is believed that Sulvasū texts must have been composed during 8th-9th centuries BCE. This result is called 'bhuja-koti-karnanyāya', where bhuja refers to base, koti refers to vertical side i.e. perpendicular and karnanyāya refers to hypotenuse of a right angled triangle.

In ancient India, Geometry was called Rajju sāstra and Sulva Sāstra. Rajju means 'rope for measurement'; Sulv means 'to measure';  Sūtra refers to text and Sastra means science or discipline. 

In vedic verses of Baudhāyana Sulvasūtra and Āpastamba Sulvasūtras,
Ap(i),4; Bau(i),48
दीर्घचतुरश्रस्याक्ष्णया रज्जुः पार्श्र्वमानी तिर्यग् मानी च यत् पृथग् भूते कुरूतस्तदुभयं करोति I

A rope stretched along the length of the diagonal produces an area which vertical and horizontal line make together. Here 'a rope stretched along length of diagonal' refers to hypotenuse and the 'area produced by vertical and horizontal' refers to the right angled triangle.