LECTURE NOTES
 

 

 

 

PYTHAGORAS (580BC - 500BC)
GREEK MATHEMATICIAN

 
 

 

PROOF OF PYTHAGORAS’ THEOREM

 

Proof : Area of big square = (a + b)2

                Area of each shaded triangle = ab / 2

                Hence (a + b)2 = c2 + 4( ab / 2)

                                a2 + 2ab + b2 = c2 + 2ab

                Therefore a2 + b2 = c2