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Notes On Understanding Pythagoras Theorem

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Published in: Mathematics
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Explanation of Pythagoras theorem in fun and easy to understand way

Kailas M / Mumbai

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  1. c a Pythagoras Theorem -+ a2 + b2 = c2 In mathematics, the pythagorean theorem, also known as pythagoras theorem, is a fundamental relation in euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides . This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation" b a Fig Proof of Pythagoras Theorem
  2. Understand ing in Fun Way: SENORC,LF.COU SENORGLF.cay Lets Represent side of each right angle triangle with some logic. Smallest square as A and its area be a Medium square as B and its area be b Large square as C and its area be c Note : Square A and B contains water. Square C is Empty at this Area of A and B = Rotate the circle Observation: Largest Square C with area C2 is half filled with water of Square A and Square B Note : Square A and B are Half—Empty (Half-Filled) Square C is Half—Empty (Half—Filled) area of Square(A+B) Square A and B are empty and their water are now part of Square C thus we can conclude Note : Square A and B are empty. Square C with area c2 is now filled.