Transcript Pythagorean Theorem - Mrs. Rivero's Math Classes

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a²+b²=c²
http://www.youtube.com/watch?v=DRRVuRHQWE&safety_mode=true&persist_safety_mod
e=1&safe=active
Is used to find a missing length of a right
(90°) triangle
There are also Pythagorean triples
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3,4,5
5,12,13
7,24,25
8,15,17
http://www.youtube.com/watch?v=b6vzK2ULRT
s&safety_mode=true&persist_safety_mode=1&s
afe=active
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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.
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
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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.
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Engineers
 Construction
 Electricians
 And of course… Math teachers! :)
 http://www.xpmath.com/careers/to
picsresult.php?subjectID=3&topicID
=9
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http://www.geom.uiuc.edu/~demo5337/Group3/hist.h
tml
http://ualr.edu/lasmoller/pythag.html
http://www.youtube.com/watch?v=DRRVuRHQWE&safety_mode=true&persist_safety_mode=1&sa
fe=active
http://www.youtube.com/watch?v=b6vzK2ULRTs&safet
y_mode=true&persist_safety_mode=1&safe=active
http://www.xpmath.com/careers/topicsresult.php?subj
ectID=3&topicID=9