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Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
Math 7H Katrina Pythagorean Theorem
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Math 7H Katrina Pythagorean Theorem

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  • 1. Pythagorean Theorem<br />Katrina Francis<br />Math 7H<br />
  • 2. What is Pythagorean Theorem?<br />A2 + B2 = C2<br />Length of the hypotenuse = Square root of length of two shorter sides squared<br />“In a right angled triangle:<br />the square of the hypotenuse is equal to<br />the sum of the squares of the other two sides.”<br />Hypotenuse = longest side of the triangle<br />
  • 3. Who discovered Pythagorean Theorem?<br />Pythagoras<br />Lived in 500s BC<br />Born in Samos<br />Had followers (Pythagoreans)<br />Followers had strict rules<br />
  • 4. How can you use Pythagorean Theorem?<br />Find the length of the hypotenuse of a right triangle<br />Can be reversed to find length of one of the shorter sides.<br />Computing distance between points on a plane<br />Converting between polar and rectangular coordinates<br />
  • 5. An Example<br />If one side of a triangle is 3 cm, and the other is 4 cm, how long is the last side?<br />A2 + B2 = C2<br /> ? cm<br />3 cm<br />4 cm<br />
  • 6. An Example (cont.)<br />A = 3<br />A2 = 9<br />B = 4<br />B2 = 16<br />9 + 16 = 25<br />√25 = 5<br />So C is 5 cm<br />5 cm<br />3 cm<br />4 cm<br />
  • 7. Another Example<br />I’m out shopping for an entertainment center. I see a very nice entertainment center on sale. The measurements are 40” by 60”. If my TV was 68” (diagonally), would it fit?<br />
  • 8. Another Example (cont.)<br />A = 40<br />A2 = 1600<br />B = 60<br />B2 = 3600<br />1600 + 3600 = 5200<br />√5200 = 72”<br />72” > 68”<br />Yes, the TV would fit with 4” extra.<br />
  • 9. The Last Example<br />I’m out trying to get a fence for my yard. The longest side is 200 m. The shorter side is 150 m. How long is the last side?<br />200 m<br />? m<br />150 m<br />
  • 10. The Last Example (cont.)<br />A = 150<br />A2 = 22,500<br />C = 200<br />C2 = 40,000<br />22,500 + B = 40,000<br />40,000 – 22,500 = 17,500<br />√17,500 ≈ 132<br />132 + 150 + 200 = 482<br />You would need 483 m of fence, because the square root of 17,500 is actually a little more that so if you only got 482 m, you wouldn’t have enough.<br />
  • 11. Works Cited<br />Gay, Kathlyn. Science in Ancient Greece. N.p.: n.p., n.d. Print. <br />"Pythagoras." Kidipede. History for Kids!, n.d. Web. 29 Nov. 2010.      <http://www.historyforkids.org/learn/greeks/science/math/pythagoras.htm>. <br />"Pythagoras of Samos." Greek Island Samos. Votsalakia, n.d. Web. 27 Nov. 2010.      <http://votsalakia.net/blog/2008/01/27/pythagoras-of-samos/>. <br />"Pythagoras' Theorem." Mathisfun!N.p., n.d. Web. 2 Dec. 2010.      <http://www.mathsisfun.com/pythagoras.htm>.<br />"The Pythagorean Theorem." Math Forum: Ask Dr.Math. Drexel U., n.d. Web. 29 Nov.      2010. <http://mathforum.org/dr.math/faq/faq.pythagorean.html>. <br />
  • 12. Pictures<br />http://dannarhitect.files.wordpress.com/2009/08/pythagoras1.jpg?w=234&h=300<br />http://threes.com/cms/images/stories/history/pythagoras.jpg<br />http://t0.gstatic.com/images?q=tbn:ANd9GcRl8QVwXIyAZH9SdXYVi9UlNEvee7Dc0vRLuku7muN7ejd6o_0uUA<br />

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