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MAT 115 PROJECT I PYTHAGOREAM THEOREM

MAT 115 PROJECT I PYTHAGOREAM THEOREM. PAING SOE 05/11/2006. Topics covered. Introduction of the Pythagorean Theorem Explanation of the Pythagorean Theorem Proof of the Pythagorean Theorem Usefulness of the Pythagorean Theorem. Introduction of Pythagorean Theorem.

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MAT 115 PROJECT I PYTHAGOREAM THEOREM

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  1. MAT 115PROJECT IPYTHAGOREAM THEOREM PAING SOE 05/11/2006

  2. Topics covered • Introduction of the Pythagorean Theorem • Explanation of the Pythagorean Theorem • Proof of the Pythagorean Theorem • Usefulness of the Pythagorean Theorem

  3. Introduction of Pythagorean Theorem • Definition of Pythagorean Theorem • History of Pythagorean Theorem

  4. Definition of Pythagorean Theorem • The sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

  5. History of the Pythagorean Theorem • One of the earliest theorems known to ancient civilizations. • It was named after the Greek mathematician and philosopher, “Pythagoras”.

  6. History of P.T • Pythagoras was also the founder of the Pythagorean school of mathematics in Southern Italy. • However, we do not know for sure that “Pythagoras” himself proved the P.T as he refused to record his findings.

  7. Explanation of Pythagorean Theorem • Figure presentation of P.T

  8. Proof of the P.T • As the sum of the area of the two rectangles and the squares: (a+b)2 = a2 + 2ab + b2 As the sum of the areas of a square and the four triangles: (a+b)2 = c2 + 4(ab/2) = c2 + 2ab • Now, setting the two right hand side expressions in these equations equal, gives: a2 + b2 +2ab = c2 + 2ab a2 + b2 = c2

  9. Usefulness of Pythagorean • Useful since in the middle school • It becomes more important during the high school years • With the help of technology and other educational resources, students should be able to see the better usefulness of P.T

  10. Other Usefulness • Pythagorean has helped Hockey Society to calculate the winning percentage. • GF^2-------------GF^2 + GA^2 where GF = goal scored , GA = goal allowed

  11. QUESTIONS ?

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