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anonymous

  • one year ago

What is the area of the equilateral triangle? Round to the nearest square centimeter. cm2 http://static.k12.com/calms_media/media/1579000_1579500/1579374/1/2d11bb360066673f6944e7b48c887fd772b22a4f/MS_IMC-150126-130913.jpg

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  1. anonymous
    • one year ago
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    @hartnn @Michele_Laino @inowalst @radar @welshfella

  2. welshfella
    • one year ago
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    there's various ways to find this area you could use A = 0.5*ab*sin C

  3. welshfella
    • one year ago
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    |dw:1432752636786:dw|

  4. welshfella
    • one year ago
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    here a = b = 8 and C = 60 degrees

  5. anonymous
    • one year ago
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    ok lets do that

  6. anonymous
    • one year ago
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    8^2 and 60^ 2 right?

  7. welshfella
    • one year ago
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    0.5 * 8^2 * sin 60

  8. anonymous
    • one year ago
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    0.5x64=60

  9. welshfella
    • one year ago
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    ??

  10. welshfella
    • one year ago
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    0.5 * 64 = half of 64 = ?

  11. welshfella
    • one year ago
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    do you know what sin 60 degrees is - Have you done any trigonometry?

  12. anonymous
    • one year ago
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    nope

  13. welshfella
    • one year ago
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    oh OK Then we need another method

  14. welshfella
    • one year ago
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    |dw:1432753016497:dw|

  15. welshfella
    • one year ago
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    x is the height of the triangle the area = 1/2 * base * height = 4 * height Now we need to find the value of x Have you come across the Pythagoras Theorem?

  16. anonymous
    • one year ago
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    yes

  17. welshfella
    • one year ago
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    so we can find x by using that theorem:- 8^2 = 4^2 + x^2 x^2 = 8^2 - 4^2 can you continue to find x?

  18. anonymous
    • one year ago
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    16x64=x^

  19. welshfella
    • one year ago
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    now its 64 - 16 = x^2

  20. anonymous
    • one year ago
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    ohhh ok

  21. welshfella
    • one year ago
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    x^2 = 48 x = sqrt 48

  22. anonymous
    • one year ago
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    i got 48

  23. anonymous
    • one year ago
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    oh nvm

  24. welshfella
    • one year ago
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    x^2 = 48 but to find x you need to find the square root of 48 ur calculator will give you that

  25. anonymous
    • one year ago
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    6.9

  26. welshfella
    • one year ago
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    yes so area = 4 * 6.9

  27. welshfella
    • one year ago
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    more accurately its 6.93 so area = 4 * 6.93

  28. anonymous
    • one year ago
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    27.6

  29. welshfella
    • one year ago
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    27.7 is more accurate

  30. anonymous
    • one year ago
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    it wont let me put in a decimal

  31. anonymous
    • one year ago
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    so 28?

  32. welshfella
    • one year ago
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    yes

  33. anonymous
    • one year ago
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    ok thanks

  34. welshfella
    • one year ago
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    yw

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