Pythagoras Theorem Proof Basic maths concepts – Pythagoras Theorem and its proof
Pythagoras Theorem 

It states that In a right angle triangle the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
a2 + b2 = c2
Proof of the Theorem 
First of all lets take a square which has a side of (a + b) and is divided into 4 right angle triangle and a square as shown in the picture.
Area of a big square = (a + b) * (a + b)
Area of the pieces
Area of a small square = c2
Area of a triangle = ½ ab
Sum of areas of 4 triangles = 4* ½ ab=2ab
So sum of areas of all pieces = c2 + 2ab
So the area of big square and sum of areas of all pieces must be equal
(a + b) * (a + b)= c2 + 2ab
a2 + b2 + 2ab = c2 + 2ab
a2 + b2 = c2
Hence proved Basic understanding about Pythagoras theorem can help to solve your math homework problems easily.