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Pythagorean Theorum Shaikh albuainain. The Pythagorean theorem has its name derived from the ancient Greek mathematician Pythagoras (569 BC-500 BC). Pythagoras.

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Presentation on theme: "Pythagorean Theorum Shaikh albuainain. The Pythagorean theorem has its name derived from the ancient Greek mathematician Pythagoras (569 BC-500 BC). Pythagoras."— Presentation transcript:

1 Pythagorean Theorum Shaikh albuainain

2 The Pythagorean theorem has its name derived from the ancient Greek mathematician Pythagoras (569 BC-500 BC). Pythagoras is said to be the first man to offer a proof of the theorem. Although the credit goes to him, people had noticed the special relationship between the sides of a right triangle long before Pythagoras. History of the Pythagorean Theorem

3 A Chinese astronomical and mathematical treatise called Chou Pei Suan Ching, translated as, The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven, possibly predated Pythagoras and gives a statement of and geometrical demonstration of the Pythagorean theorem. A Chinese astronomical and mathematical treatise called Chou Pei Suan Ching, translated as, The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven, possibly predated Pythagoras and gives a statement of and geometrical demonstration of the Pythagorean theorem. Chinese did it even before Pythagoras

4 When a triangle contains a right angle (90°), and squares are made on each of the three sides, then the biggest square has the exact same area as the other two squares put together! The Right Triangle and Surrounding Squares

5 The Pythagorean theorem states that the sum of the squares of the lengths of the two other sides of any right triangle will equal the square of the length of the hypotenuse, or, in mathematical terms, for the triangle shown at right, a 2 + b 2 = c 2. Integers that satisfy the conditions a 2 + b 2 = c 2 are called "Pythagorean triples." The Pythagorean theorem states that the sum of the squares of the lengths of the two other sides of any right triangle will equal the square of the length of the hypotenuse, or, in mathematical terms, for the triangle shown at right, a 2 + b 2 = c 2. Integers that satisfy the conditions a 2 + b 2 = c 2 are called "Pythagorean triples." Pythagorean Theorem Formula a c b


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