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zhane2015

  • 3 years ago

What is the value of w? triangle (1 point) 7 3.5 7square root of three 14

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  1. zhane2015
    • 3 years ago
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    |dw:1360703526596:dw|

  2. Zelda
    • 3 years ago
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    Take a look here and see if you can figure it out: See attached

  3. Directrix
    • 3 years ago
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    30-60-90 theorem in words.

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  4. zhane2015
    • 3 years ago
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    Thank yoou soo much

  5. zhane2015
    • 3 years ago
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    @Directrix I'm sorry I thought I understood what I was doing but if you could just explain how to solve for w please, and @Zelda if you can help i would appreciate it

  6. Directrix
    • 3 years ago
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    First, you have to know what the 30-60-90 theorem says. It is written above in both symbols and words. Next, you have to know the names of the parts of the 30-60-90 triangle. I am marking them on a drawing. |dw:1360705600824:dw|

  7. Directrix
    • 3 years ago
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    Do you understand that so far?

  8. Directrix
    • 3 years ago
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    We will go step by step so that you understand. That is why I am asking.

  9. zhane2015
    • 3 years ago
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    yes

  10. Directrix
    • 3 years ago
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    If one angle of a right triangle is 30, then the other acute angle is 60. So, we have a 60 leg. Then, there is the hypotenuse. |dw:1360705782032:dw|

  11. Directrix
    • 3 years ago
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    Does that make sense? If so, we're about to break out the theorem. :)

  12. zhane2015
    • 3 years ago
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    Yes so far.

  13. Directrix
    • 3 years ago
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    That's good news. So far, so good.

  14. Directrix
    • 3 years ago
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    We want the length of w which is the hypotenuse. But, all we are given is the 60 leg.

  15. zhane2015
    • 3 years ago
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    Yes

  16. Directrix
    • 3 years ago
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    When fooling with the 30-60-90 theorem, get the 30-leg first. I know we are not asked for the 30-leg but the 30-leg is the key to finding w, the hypotenuse.

  17. Directrix
    • 3 years ago
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    Theorem Time; The 60-leg is sqrt(3) times the 30-leg. Agree?

  18. zhane2015
    • 3 years ago
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    Whoa, can you draw that??

  19. Directrix
    • 3 years ago
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    |dw:1360706227544:dw|

  20. Directrix
    • 3 years ago
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    |dw:1360706398553:dw|

  21. Directrix
    • 3 years ago
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    Questions? (We have one more step. We are not yet finished.)

  22. zhane2015
    • 3 years ago
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    I understand

  23. Directrix
    • 3 years ago
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    Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30-leg.

  24. zhane2015
    • 3 years ago
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    Yes, I am aware of that.

  25. Directrix
    • 3 years ago
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    The second part of the 30-60-90 theorem states that the hypotenuse is two times the 30-leg.

  26. Directrix
    • 3 years ago
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    |dw:1360706596069:dw|

  27. zhane2015
    • 3 years ago
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    Ok...

  28. Directrix
    • 3 years ago
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    So, w = 14. I can write it out. |dw:1360706716509:dw|

  29. Directrix
    • 3 years ago
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    |dw:1360706845397:dw|

  30. Directrix
    • 3 years ago
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    You can see the pattern in the diagram. That was what Zelda was talking about.

  31. Directrix
    • 3 years ago
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    Question?

  32. zhane2015
    • 3 years ago
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    No, and Thank You very much.

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