Pythagoras and the

Pythagorean TheoremMEMBERS

Roland RamjattanDenise Kanhai-GuptaAlicia RosanArlene Bissoon

Biography of Pythagoras• The Pythagorean School excelled in many

subjects, such as music, medicine and mathematics.

• In the society, members were known as mathematikoi.

• History tells us that this theorem has been introduced through drawings, texts, legends, and stories from Babylon, Egypt, and China, dating back to 1800-1500 B.C.

• Unfortunately, no one is sure who the true founder of the Pythagorean Theorem is. But it does seem certain through many history books that some time in the sixth century B.C., Pythagoras derives a proof for the Pythagorean Theorem.

Biography of Pythagoras

•Pythagoras was a Greek mathematician and a philosopher, but was best known for his Pythagorean Theorem.

•He was born around 572 B.C. on the island of Samos.

• For about 22 years, Pythagoras spent time traveling though Egypt and Babylonia to educate himself.

•At about 530 B.C., he settled in a Greek town in southern Italy called Crotona.

•Pythagoras formed a brotherhood that was an exclusive society devoted to moral, political and social life. This society was known as Pythagoreans.

RIGHT ANGLE TRIANGLE

RIGHT ANGLE TRIANGLE

1.Complete the Square on both sides and find the area of each

3

4

4

3

1 3

4 5 6

7 8 9

1

2

2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

2. Count the total squares

3

4

4

3

1 3

4 5 6

7 8 9

1

2

2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

9 + 16 = 25

3

4

4

3

1 3

4 5 6

7 8 9

1

2

2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

9 + 16 = 25

3. Put that number of squares on the hypotenuse

2

4

6

8

10

12

14

16

18

20

22

24

1

3

5

7

9

11

13

15

17

19

21

23

25

3

4

4

3

1 3

4 5 6

7 8 9

1

2

2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

9 + 16 = 25

4. Count the number of squares that touch the hypotenuse.

2

4

6

8

10

12

14

16

18

20

22

24

1

3

5

7

9

11

13

15

17

19

21

23

25

# = 5

3

4

4

3

1 3

4 5 6

7 8 9

1

2

2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

9 + 16 = 25

5. That number is the length

of the hypotenuse.

2

4

6

8

10

12

14

16

18

20

22

24

1

3

5

7

9

11

13

15

17

19

21

23

25

# = 5Length = 5

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