Pythagorean Theorem By: Mikayla Moore.

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Presentation transcript:

Pythagorean Theorem By: Mikayla Moore

What is the Pythagorean Theorem? a²+b²=c² http://www.youtube.com/watch?v=DRRVu-RHQWE&safety_mode=true&persist_safety_mode=1&safe=active Is used to find a missing length of a right (90°) triangle There are also Pythagorean triples 3,4,5 5,12,13 7,24,25 8,15,17 http://www.youtube.com/watch?v=b6vzK2ULRTs&safety_mode=true&persist_safety_mode=1&safe=active

Pythagoras Lived from 569 B.C. to 500 B.C. From the island Samos in Greece Not much is known about his life in his younger years Found the Brotherhood of Pythagoreans: it was like a cult and they had symbols, prayers and rituals. The Brotherhood was devoted to the study of mathematics. Had a strict moral and ethnical code Were vegetarians, but refused to eat beans because they believed there were human souls inside of them He was not the person who discovered the Pythagorean Theorem, just the first who could prove it. Researches aren’t sure exactly how Pythagoras proved the theorem because he didn’t allow any one to record his teachings in writing.

Others who used the Pythagorean theorem before Pythagoras Babylonians in the second millennium B.C., 1000 years before Pythagoras, had rules for generating Pythagorean Triples, they had an understanding of the relationship between the sides of a right triangle, and, in solving for the hypotenuse of an isosceles right triangle, came up with an approximation of radical two accurate to five decimal places. A Chinese astronomical and mathematical treatise called Chou Pei Suan Ching possibly predates Pythagoras and gives a geometrical demonstration of the Pythagorean Theorem http://cecasun.utc.edu/~cpmawata/geom/geom7.htm Ancient Indian mathematicians also knew the Pythagorean Theorem. They used it in alters for religious purposes. The Mayans may have also used variations of Pythagorean triples in their Long Count calendar.

Uses in Real Life Engineers Construction Electricians And of course… Math teachers! :) http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=9

Websites http://www.geom.uiuc.edu/~demo5337/Group3/hist.html http://ualr.edu/lasmoller/pythag.html http://www.youtube.com/watch?v=DRRVu-RHQWE&safety_mode=true&persist_safety_mode=1&safe=active http://www.youtube.com/watch?v=b6vzK2ULRTs&safety_mode=true&persist_safety_mode=1&safe=active http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=9