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Who am I? 3/4. I am older than dirt….and lived around 570 BCE I was a philosopher that influenced Plato If I could of gotten e-mail, I would of found out that my great idea was not original The Chinese in 2000 BCE beat me to the task (as well as the Babylonians)
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Who am I? 3/4 • I am older than dirt….and lived around • 570 BCE • I was a philosopher that influenced Plato • If I could of gotten e-mail, I would of found • out that my great idea was not original • The Chinese in 2000 BCE beat me to the • task (as well as the Babylonians) • Euclid (200 BCE) wrote about me and my accomplishments in his book “Elements” and was the first to prove that the converse of my great idea was also true • Following the first proof, many proofs followed (over 100 different!). • Euclid, Socrates, and even President Garfield found other ways to prove what I am famous for
Today’s Agenda3/4 • Return Tests • Homework Review • Textbook pg 532: 13-15,19-27,32 • Ch 9.2 Pythagorean Theorem • Homework • Textbook 538-541: • 9-15 odd, 16-28 even, 32, 42-49 all • What movie does the Pythagorean theorem get misquoted and by whom?
Pythagorean Theorem c a b The sum of the squares of the legs of a right triangleare equal to the square of the hypotenuse Geometric Proof Activity Hypotenuse Leg Leg
Pythagorean TRIPLES c a b Set of three positive INTEGERS a,b, & c that satisfy the equation: c2=a2+b2 3,4,5 5,12,13 6,8,10 Hypotenuse Leg Leg