1. 9.2 Special Right Triangles EQ: What are the relationships between the sides on a triangle?
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2. Take a square…
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3. Find its diagonal
Here it is
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4. Find its length d x x
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5. d x x
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6. Summarize the pattern:
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7. 45o-45o-90o
leg
leg
leg
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8. 45o-45o-90o 6 6 6
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9. 45o-45o-90o 8 8 8
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10. 45o-45o-90o 5 5 5
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11. 45o-45o-90o 10 10 10
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12. 45o-45o-90o 2
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13. 45o-45o-90o
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14. 45o- 45o-90o
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15. 45o-45o-90o
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16. 9.2 Special Right Triangles 30-60-90 Triangles
EQ: How do I find the lengths of sides of a
triangle

17. Now Let’s take an Equilateral Triangle…
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18. … Find its Altitude
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19. x x a x
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20. x x a
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21. Summarize the pattern:
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22. 30o-60o-90o
Shorter Leg
Hypotenuse
Longer leg
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23. 30o-60o-90o
½ Hyp.
Hyp.
½ Hyp.
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24. 30o-60o-90o
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25. Practice:
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26. 30o-60o-90o
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27. 30o-60o-90o
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28. 30o-60o-90o
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29. 30o-60o-90o
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30. 30o-60o-90o
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31. 30o-60o-90o
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32. 30o-60o-90o
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33. 30o-60o-90o
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34. 30o-60o-90o
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35. 30o-60o-90o
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36. Review Both Patterns:
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37. 45o-45o-90o
leg
leg
leg
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38. 30o-60o-90o
½ Hyp.
Hyp.
½ Hyp.
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39. Mixed Practice:
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40. Moody Mathematics

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42. 8 8 8
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43. 10 10 10
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44. Moody Mathematics

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54. 4 4
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55. 2
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56. Moody Mathematics