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Special Right Triangles

Special Right Triangles. Take a square…. Find its diagonal. Here it is. Find its length. d. x. x. d. x. x. Summarize the pattern:. 45 o -45 o -90 o. leg. leg. leg. 45 o -45 o -90 o. 6. 6. 6. Practice:. 45 o -45 o -90 o. 8. 8. 8. 45 o -45 o -90 o. 5. 5. 5.

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Special Right Triangles

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  1. Special Right Triangles

  2. Take a square…

  3. Find its diagonal Here it is

  4. Find its length d x x

  5. d x x

  6. Summarize the pattern:

  7. 45o-45o-90o leg leg leg

  8. 45o-45o-90o 6 6 6

  9. Practice:

  10. 45o-45o-90o 8 8 8

  11. 45o-45o-90o 5 5 5

  12. 45o-45o-90o 10 10 10

  13. 45o-45o-90o 2

  14. 45o-45o-90o

  15. 45o- 45o-90o

  16. 45o-45o-90o

  17. Now Let’s take an Equilateral Triangle…

  18. … Find its Altitude

  19. x x a x

  20. x x a

  21. Summarize the pattern:

  22. 30o-60o-90o Shorter Leg Hypotenuse Longer leg

  23. 30o-60o-90o ½ Hyp. Hyp. ½ Hyp.

  24. 30o-60o-90o

  25. Practice:

  26. 30o-60o-90o

  27. 30o-60o-90o

  28. 30o-60o-90o

  29. 30o-60o-90o

  30. 30o-60o-90o

  31. 30o-60o-90o

  32. 30o-60o-90o

  33. 30o-60o-90o

  34. 30o-60o-90o

  35. 30o-60o-90o

  36. Review Both Patterns:

  37. 45o-45o-90o leg leg leg

  38. 30o-60o-90o ½ Hyp. Hyp. ½ Hyp.

  39. Mixed Practice:

  40. 8 8 8

  41. 10 10 10

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