Title: Proofs of the Pythagorean Theorem
1Proofs of the Pythagorean Theorem
- The Supermodel of Math Formulas
a2 b2 c2
2What 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.
3Fun 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
4Famous 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!
5The Necessary Right Angle
6Visual Proofs in GeoGebra
7Parallelogram Solution
8Semi-Circle Solution