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Pythagoras and the Pythagorean Theorem MEMBERS Roland Ramjattan Denise Kanhai-Gupta Alicia Rosan Arlene Bissoon.

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Presentation on theme: "Pythagoras and the Pythagorean Theorem MEMBERS Roland Ramjattan Denise Kanhai-Gupta Alicia Rosan Arlene Bissoon."— Presentation transcript:

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2 Pythagoras and the Pythagorean Theorem MEMBERS Roland Ramjattan Denise Kanhai-Gupta Alicia Rosan Arlene Bissoon

3 Biography of Pythagoras The Pythagorean School excelled in many subjects, such as music, medicine and mathematics. In the society, members were known as mathematikoi. History tells us that this theorem has been introduced through drawings, texts, legends, and stories from Babylon, Egypt, and China, dating back to 1800-1500 B.C. Unfortunately, no one is sure who the true founder of the Pythagorean Theorem is. But it does seem certain through many history books that some time in the sixth century B.C., Pythagoras derives a proof for the Pythagorean Theorem.

4 Biography of Pythagoras Pythagoras was a Greek mathematician and a philosopher, but was best known for his Pythagorean Theorem. He was born around 572 B.C. on the island of Samos. For about 22 years, Pythagoras spent time traveling though Egypt and Babylonia to educate himself. At about 530 B.C., he settled in a Greek town in southern Italy called Crotona. Pythagoras formed a brotherhood that was an exclusive society devoted to moral, political and social life. This society was known as Pythagoreans.

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6 RIGHT ANGLE TRIANGLE

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8 1.Complete the Square on both sides and find the area of each 3 4 4 3 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16

9 2. Count the total squares 3 4 4 3 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25

10 3 4 4 3 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 3. Put that number of squares on the hypotenuse 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25

11 3 4 4 3 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 4. Count the number of squares that touch the hypotenuse. 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25 # = 5

12 3 4 4 3 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 5. That number is the length of the hypotenuse. 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25 # = 5 Length = 5

13 http://www.youtube.com/watch?v=hT xqdyGjtsA&feature=related

14 http://video.search.yahoo.com/s earch/video;_ylt=A0SO8ZmPFaV MEwUAjU37w8QF;_ylu=X3oDMTBn cGdyMzQ0BHNlYwNzZWFyY2gEd nRpZAM- ?p=pythagorean+theorem+song &fr=avantsearch&ei=utf- 8&fr2=tab- img&n=21&tnr=20&y=Search

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