Pythagoras Theorem

PYTHAGORAS THEOEM

Pythagoras (570 BCE – 495 BCE) (Ancient Greece)

He is proved and popularized the theorem around 500 BCE.

P² + B² = H²

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Find Hypotenuse (H)

Use: H² = P² + B²

1. P = 3 cm, B = 4 cm

2. P = 5 cm, B = 12 cm

3. P = 8 cm, B = 15 cm

4. P = 7 cm, B = 24 cm

5. P = 9 cm, B = 12 cm

6. P = 6 cm, B = 8 cm

7. P = 10 cm, B = 24 cm

8. P = 20 cm, B = 21 cm

9. P = 11 cm, B = 60 cm

10. P = 16 cm, B = 30 cm

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Find Perpendicular (P)

Use: P² = H² - B²

11. H = 13 cm, B = 5 cm

12. H = 25 cm, B = 7 cm

13. H = 17 cm, B = 15 cm

14. H = 41 cm, B = 40 cm

15. H = 29 cm, B = 21 cm

16. H = 50 cm, B = 14 cm

17. H = 37 cm, B = 35 cm

18. H = 65 cm, B = 33 cm

19. H = 85 cm, B = 36 cm

20. H = 53 cm, B = 28 cm

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Find Base (B)

Use: B² = H² - P²

21. H = 10 cm, P = 6 cm

22. H = 26 cm, P = 10 cm

23. H = 34 cm, P = 16 cm

24. H = 45 cm, P = 27 cm

25. H = 61 cm, P = 11 cm

26. H = 20 cm, P = 12 cm

27. H = 39 cm, P = 15 cm

28. H = 52 cm, P = 20 cm

29. H = 75 cm, P = 45 cm

30. H = 29 cm, P = 20 cm

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Solution

Find Hypotenuse (H)

1. H = 5 cm

2. H = 13 cm

3. H = 17 cm

4. H = 25 cm

5. H = 15 cm

6. H = 10 cm

7. H = 26 cm

8. H = 29 cm

9. H = 61 cm

10. H = 34 cm

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Find Perpendicular (P)

11. P = 12 cm

12. P = 24 cm

13. P = 8 cm

14. P = 9 cm

15. P = 20 cm

16. P = 48 cm

17. P = 12 cm

18. P = 56 cm

19. P = 77 cm

20. P = 45 cm

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Find Base (B)

21. B = 8 cm

22. B = 24 cm

23. B = 30 cm

24. B = 36 cm

25. B = 60 cm

26. B = 16 cm

27. B = 36 cm

28. B = 48 cm

29. B = 60 cm

30. B = 21 cm