1. MAT 115 PROJECT I PYTHAGOREAM 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 + b = 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^ GF^2 + GA^2 where
GF = goal scored , GA = goal allowed

11. QUESTIONS ?