P ythagoras Theorem P roof Basic maths concepts – Pythagoras Theorem and its proof

Pythagoras Theorem:

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. a 2 + b 2 = c 2

Proof of the Theorem:

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.

PowerPoint Presentation:

Area of a big square = (a + b) * (a + b) Area of the pieces Area of a small square = c 2 Area of a triangle = ½ ab Sum of areas of 4 triangles = 4* ½ ab =2ab So sum of areas of all pieces = c 2 + 2ab So the area of big square and sum of areas of all pieces must be equal (a + b) * (a + b)= c 2 + 2ab a 2 + b 2 + 2ab = c 2 + 2ab a 2 + b 2 = c 2 Hence proved Basic understanding about Pythagoras theorem can help to solve your math homework problems easily.

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