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Proofs of the Pythagorean Theorem

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Proofs of the Pythagorean Theorem The Supermodel of Math Formulas a2 + b2 = c2 What is it? Establishes a simple relationship between the sides of a right triangle ... – PowerPoint PPT presentation

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Title: Proofs of the Pythagorean Theorem


1
Proofs of the Pythagorean Theorem
  • The Supermodel of Math Formulas

a2 b2 c2
2
What is it?
  • Establishes a simple relationship between the
    sides of a right triangle
  • Over 4,000 years old
  • a2 b2 c2 ? a b c
  • Over 400 distinct proofs now exist

The square of the hypotenuse of a right triangle
is equal to the sum of the squares on the other
two sides.
3
Fun Facts about Pythagoras
  • He was Greek!
  • He lived to be 99 years old (or so)!
  • He was a cult leader!
  • His cult held the irrational belief that all
    numbers are rational!
  • Thats not him!

Im Archimedes!
Obligatory picture of dead Greek Mathematician
4
Famous People who have Proved the Pythagorean
Theorem
Euclid Oh snap!
Napoleon Vote for Pedro!
Albert Im 12 years old and still smarter than
you!
Leonardo I did it over a long weekend!
Garfield Can you believe they shot me?
Draper I used a baseball field!
5
The Necessary Right Angle
6
Visual Proofs in GeoGebra
7
Parallelogram Solution
8
Semi-Circle Solution
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