1. @ Dr.K.Thiyagu, CUTN1

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5. Pythagoras Theorem @ Dr.K.Thiyagu, CUTN5

6. This is a right triangle @ Dr.K.Thiyagu, CUTN6

7. We call it a right triangle because it contains a right angle. @ Dr.K.Thiyagu, CUTN7

8. The measure of a right angle is 90 o 90 o @ Dr.K.Thiyagu, CUTN8

9. The little square 90 o in the angle tells you it is a right angle. @ Dr.K.Thiyagu, CUTN9

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11. PYTHAGORAS THEOREM ANIMATION @ Dr.K.Thiyagu, CUTN11

12. Draw a square on each side. A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN12

13. c b a Measure the length of each side A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN13

14. Work out the area of each square. A Pythagorean Puzzle a b C² b² a² c @ Dr.K.Thiyagu, CUTN14

15. A Pythagorean Puzzle c² b² a² @ Dr.K.Thiyagu, CUTN15

16. A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN16

17. 1  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN17

18. 1 2  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN18

19. 1 2  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN19

20. 1 2 3  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN20

21. 1 2 3  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN21

22. 1 23 4  A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN22

23. 1 23 4 A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN23

24. 1 23 4 5 A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN24

25. 1 23 4 5 What does this tell you about the areas of the three squares? The red square and the yellow square together cover the green square exactly. The square on the longest side is equal in area to the sum of the squares on the other two sides. A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN25

26. 1 23 4 5 Put the pieces back where they came from. A Pythagorean Puzzle @ Dr.K.Thiyagu, CUTN26

27. 1 23 4 5 A Pythagorean Puzzle Put the pieces back where they came from. @ Dr.K.Thiyagu, CUTN27

28. 1 23 4 5 A Pythagorean Puzzle Put the pieces back where they came from. @ Dr.K.Thiyagu, CUTN28

29. 1 23 4 5 A Pythagorean Puzzle Put the pieces back where they came from. @ Dr.K.Thiyagu, CUTN29

30. 1 23 4 5 A Pythagorean Puzzle Put the pieces back where they came from. @ Dr.K.Thiyagu, CUTN30

31. 1 23 4 5 A Pythagorean Puzzle Put the pieces back where they came from. @ Dr.K.Thiyagu, CUTN31

32. This is called Pythagoras’ Theorem. A Pythagorean Puzzle c² b² a² c²=a²+b² @ Dr.K.Thiyagu, CUTN32

33. a 2 + b 2 = c 2 http://www.pbs.org/wgbh/nova/proof/puzzle/theorem.html @ Dr.K.Thiyagu, CUTN33

34. a a a2a2 b b c c b2b2 c2c2 Let’s look at it this way… @ Dr.K.Thiyagu, CUTN34

35. Pythagoras Theorem c2c2 b2b2 a2a2 a 2 + b 2 = c 2 b a c In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Hypotenuse Pythagoras of Samos (6 C BC) @ Dr.K.Thiyagu, CUTN35

36. How to Solve First we needed to find the length of the hypotenuse. 3 4 A C B ? @ Dr.K.Thiyagu, CUTN36

37. How to Solve First we needed to find the length of the hypotenuse. 3 4 A 2 A 2 + B 2 B 2 = C2C2C2C2 4 2 4 2 + 3 2 3 2 = C2C2C2C2 16 + 9 = C2C2C2C2 25 = C2C2C2C2 Find the square root of each side. C = 5 A C B @ Dr.K.Thiyagu, CUTN37

38. 3 cm 4 cm x 1 5 cm 12 cm x 2 Pythagoras Theorem 9 + 16x  25x  169x  @ Dr.K.Thiyagu, CUTN38

39. Pythagoras Theorem 5 cm 6 cm x 3 4.6 cm 9.8 cm x 4 @ Dr.K.Thiyagu, CUTN39

40. Solve 1.IF AB=12 CM; BC=9CM THEN AC=? 2. IF AB=6 CM; BC= 8 CM THEN AC=? @ Dr.K.Thiyagu, CUTN40

41. Summary Pythagorean Theorem is A 2 + B 2 = C 2 Now you should have a good idea what the Pythagorean Theorem is and how it works. As you can see it is used in everyday life. We will be doing more work with it later on. @ Dr.K.Thiyagu, CUTN41

42. Assignment Collect the e-resources related to Pythagoras Theorem Try to solve some problem related to Pythagoras Theorem Download some the YouTube videos related to Pythagoras @ Dr.K.Thiyagu, CUTN42