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The pythagorean theorem
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The pythagorean theorem

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Transcript

  • 1. By Zachary Parkin
  • 2. Pythagoras  • Pythagoras lived in the 500s BC. • Was believed to prove the Pythagorean Theorem to be true.
  • 3. The Formula  C A B
  • 4. History behind the Formula  Babylonians understood the connection between the sides of a right triangle. Babylonians figured out the relationship approximately 1000 years before Pythagoras. It was named the Pythagorean Theorem because he is considered the first to have given proof that the formula is true.
  • 5. Terms and Definitions  Hypotenuse: The side opposite of the right angle. Pythagorean Triples: It is when all sides are integer values. Example 3,4,5
  • 6. When can it be used?  C 5 12 This formula can only be used with right triangles. Two side lengths must be given.
  • 7. Applications for the Formula  ? 3 5
  • 8. Parts of the Triangle  Leg A Leg B
  • 9. How to use the Formula   5 12
  • 10. How to use the Formula continued…   a 6
  • 11. Example of use for Differentials  Car A is traveling west at 40 mi/h and car B is traveling north at 40 X mi/h. Both are headed for the intersection of the two roads. At what Y rate are the cars approaching each other when car A is 0.4 mi and car B is 0.3 mi from the intersection?
  • 12. Solution  Given Values 1. dx/dt=40 miles per hour 2. dy/dt=40 miles per hour Solve for: Dz/dt when x=.4, and y=.3
  • 13. Solution Continued…  .4 .3
  • 14. Works Cited  http://www.mathblog.dk/pythagorean-triplets/ http://www.historyforkids.org/learn/greeks/scien ce/math/pythagoras.htm http://www.livius.org/a/1/greeks/pythagoras.JPG http://ualr.edu/lasmoller/pythag.html Problems given made up by Zachary Parkin
  • 15. Thank You