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anonymous

  • one year ago

the length of the hypotenuse of a 30 60 90 triangle is 7. find the perimeter

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  1. Zale101
    • one year ago
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    What is 30-60-90 triangle as ratios?

  2. anonymous
    • one year ago
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    what do you mean?

  3. anonymous
    • one year ago
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    hello?

  4. Zale101
    • one year ago
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    |dw:1433470180649:dw|

  5. Zale101
    • one year ago
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    2x= is the hypotenuse x=shortest side x*\(\sqrt{3}\)= other side

  6. Zale101
    • one year ago
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    What is the hypotenuse based off of your question?

  7. anonymous
    • one year ago
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    7

  8. Zale101
    • one year ago
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    |dw:1433470414864:dw|

  9. Zale101
    • one year ago
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    |dw:1433470453328:dw|

  10. Zale101
    • one year ago
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    2x= Hypotenuse so 2x=7 makes sense?

  11. anonymous
    • one year ago
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    yes

  12. anonymous
    • one year ago
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    so x is 3.5

  13. Zale101
    • one year ago
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    Yes! :) and x=shortest side so what is the shortest side? :)

  14. anonymous
    • one year ago
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    3.5

  15. Zale101
    • one year ago
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    Bravo!

  16. Zale101
    • one year ago
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    |dw:1433470603128:dw| Where is 3.5 in here?

  17. anonymous
    • one year ago
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    like i understand that but my answer choices are written weird, ill show you

  18. Zale101
    • one year ago
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    Okay

  19. anonymous
    • one year ago
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    a.7/2+21/2 sqrt 3 b. 21+7 sqrt 3 c. 7+21 sqrt 3 d.21/2 + 7/2 sqrt 3

  20. Zale101
    • one year ago
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    Your question is looking for the perimeter and the perimeter is when you add all the sides of the shape. We are looking for the sides of the triangle when the hypotenuse is 7 |dw:1433470973918:dw|

  21. Zale101
    • one year ago
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    |dw:1433471021623:dw|

  22. Zale101
    • one year ago
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    Your choices are written in a way of the result of finding the perimeter.

  23. anonymous
    • one year ago
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    ohh okok

  24. Zale101
    • one year ago
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    |dw:1433471207953:dw| What is the length of the bottom of the leg, we know the leg is \(x*\sqrt{3}=bottom~~leg\)

  25. anonymous
    • one year ago
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    3.5 sqrt 3

  26. Zale101
    • one year ago
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    Yes :)

  27. Zale101
    • one year ago
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    Hypotenuse=7 right side leg= 3.5 bottom leg=3.5* sqrt(3)

  28. Zale101
    • one year ago
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    How do you solve the perimeter now, what do you do?

  29. anonymous
    • one year ago
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    add all sides

  30. anonymous
    • one year ago
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    @Zale101

  31. Zale101
    • one year ago
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    yep, you got it now

  32. anonymous
    • one year ago
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    i still dont understand how that turns out to be one of the answer choices though @zale101

  33. Zale101
    • one year ago
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    \(\LARGE \frac{7}{2}+7+\frac{7}{2}\sqrt{3}\) this is your perimeter But if we add \(\large\frac{7}{2}+7\) \(\Large\frac{7}{2}+\frac{7}{1}=\frac{7+14}{2}=\frac{21}{2}\) So, we will end up with \(\LARGE \frac{21}{2}+\frac{7}{2}\sqrt{3}\) as your simplified perimeter

  34. Zale101
    • one year ago
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    a.7/2+21/2 sqrt 3 b. 21+7 sqrt 3 c. 7+21 sqrt 3 d.21/2 + 7/2 sqrt 3 <-------- Your Perimeter was hidden here (but simplified )

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