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The Pythagorean Theorem

The Pythagorean Theorem. By: Angela Hand. Born in Samos, Greece during the sixth century B.C. Greek philosopher and mathematician Declared that numbers could uncover the secrets of the universe, limiting and giving shape to matter Discovered Pythagorean Theorem. Pythagoras.

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The Pythagorean Theorem

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  1. The Pythagorean Theorem By: Angela Hand

  2. Born in Samos, Greece during the sixth century B.C. Greek philosopher and mathematician Declared that numbers could uncover the secrets of the universe, limiting and giving shape to matter Discovered Pythagorean Theorem Pythagoras

  3. The Pythagorean theorem is used to find the length of the missing side in a right triangle. Use of the Pythagorean Theorem:

  4. Important facts • Pythagorean theorem can only be used in right triangles • Legs are always the sides adjacent to the 90 degree angle (next to) • It does not matter which leg is a or b • Hypotenuse is always the longest leg called c.

  5. A right triangle is a triangle with 90 degree angle. What is a right triange?

  6. a and b represent the legs c represents the hypotenuse Formula

  7. hypotenuse leg leg Right angle How formula works... • Determine legs and the Hypotenuse

  8. Steps • 1. Find legs and hypotenuse • 2. Square the legs (a,b) • 3. Add legs together • 4. Square root the answer • 5. Answer is the length of the hypotenuse [c]

  9. 42 + 32 = c2 16 + 9 = c2 Square both legs and add

  10. 16 + 9 = 25 42 + 32 = 52 Square root answer (hypotenuse)

  11. All together

  12. Proof

  13. Example problem • Finding a leg

  14. Example 2 • Find the hypotenuse

  15. Uses: Designing of ramps. Whether a handicap accessible ramp of a skateboard ramp. Computing distance between two points, such as in bases in baseball. Applications

  16. Theorem calculator and video • Calculator • Video

  17. Citation • "Pythagoras Biography - Life, Name, History, School, Son, Information, Born, Time." Encyclopedia of World Biography. Web. 19 Oct. 2010. <http://www.notablebiographies.com/Pu-Ro/Pythagoras.html>.

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