a2+b2 + c2 Equal to

Answer: The Pythagorean Theorem was stated by a famous Greek Mathematician Pythagoras and hence is holding his name.

The formula is given by, a2 + b2 + c2= (a+b+c)2-2ab-2bc-2ca

Consider, a+b+c2=a+b+c2

= a+b2+2a+bc+c2

= a2+2ab+b2+2ac+2bc+c2

= a2+b2+c2+2ab+2bc+2ca

Thus, a2 + b2 + c2= (a+b+c)2-2ab-2bc-2ca

This gives the proof of the Pythagorean theorem.