MAT 115PROJECT 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

Definition of Pythagorean Theorem

History of Pythagorean Theorem

Definition of Pythagorean Theorem

The sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

History of the Pythagorean Theorem

One of the earliest theorems known to ancient civilizations.

It was named after the Greek mathematician and philosopher, “Pythagoras”.

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.

Explanation of Pythagorean Theorem

Figure presentation of P.T

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

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

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

QUESTIONS

?