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Pythagorean theorem

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Anastasia Fassman

on 19 March 2013

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Transcript of Pythagorean theorem

Pythag rean Theorem About Pythagoras a + b = c 2 2 2 Pythagorean triple How it relates to the real world Early Pythagorean Theorem Resources http://www.mathsisfun.com/pythagoras.html



http://pberlin.com/pythagoras.htm Pythagoras was not the first to discover the theorem. The Babylonian, Chinese, Indian and Greeks used the theorem way before Pythagoras. He gets credit for it because he was the first one to prove why it works. By Kay Ingulli and Anastasia Fassman Pythagoras lived around 575 B.C.E. in Samos, Greece. He was a scientist, philosopher and religious teacher. Other than making the pythogorean theorem he made the Golden Ratio and Musica Universalis.

http://en.wikipedia.org/wiki/Pythagorean_theorem "Numbers could uncover the secrets of the universe, limiting and giving shape to matter." - Pythagoras If you were to draw three squares on the perimeter of a right triangle then the sum of the smallest two squares' area would equal the area of the largest triangle. the formula is a+b=c 2 2 2 For Example: a+b=c 2 2 2 4+3=5 2 2 2 16+9=25 the two smaller squares'
are combined equal the
largest square's area. If you know two sides of a right triangle you can figure out the third by using the Pythagorean Theorem Why we chose this topic Other forms Other Interesting Facts About the Pythagorean Theorem •"The Scarecrow in the film The Wizard of Oz makes a specific reference to the theorem. Upon receiving his diploma from the Wizard, he immediately exhibits his 'knowledge' by reciting a mangled and incorrect version of the theorem: 'The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side. Oh, joy! Oh, rapture! I've got a brain!'" •"In 2000, Uganda released a coin with the shape of an isosceles right triangle. The coin's tail has an image of Pythagoras and the equation α + β = γ, accompanied with the mention 'Pythagoras Millennium'." •"Greece, Japan, San Marino, Sierra Leone, and Suriname have issued postage stamps depicting Pythagoras and the Pythagorean theorem'." http://tastemybraincandy.tumblr.com/post/27566193598/greek-stamp-showing-pythagorass-theorem




http://www.mathopenref.com/pythagoras.html We chose this topic because it is a upcoming topic in class. By learning it now we know how to do the theorem and are ahead. We also chose this topic because we have never heard of the Pythagorean theorem before. The Pythagorean Theorem is used during: Crime investigations When investigating a shooting, the police can tell where the gun was shot from and if it was suicide or homicide by using the Pythagorean Theorem. Earthquakes With the theorem seismologists can tell where the center of the earthquake was There are other ways of writing the Pythagorean theorem
algebraically than: If you know what a and b are than you can solve for c by: If you know the length of the largest side, or hypotenuse, and one of the smaller sides you can figure out the other by: or Information: Photos: Videos: http://www.youtube.com/user/MathCrazyTutoring/videos?query=pyhtagorean+theorem or c equals the square root of a squared plus b squared. or a equals the square root of c squared minus b squared.
or b equals the square root of c squared minus a squared. The Pythagorean triple is any 3 whole numbers that fit the rule a + b =c .
The 3 smallest numbers that work are 3, 4 and 5. A triangle that has these length can sometimes be called a 3, 4 5 triangle. 2 2 2 2 2 2
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