a2+b2 + c2 Equal to
What is a² + b² + c² equal to? Learn algebraic identities and expansions with examples for CBSE Class 9 and competitive exam preparation.
What is a² + b² + c² equal to? Learn algebraic identities and expansions with examples for CBSE Class 9 and competitive exam preparation.
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.