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anonymous

  • 5 years ago

Can someone check this please.... Does it make sense, work, or is the solution to : find the ratio of a square inscribed in an equilateral triangle. Area of a square = s² Area of a triangle = (t²√3)/4 30◦-60◦-90◦ rule T = s+2(s/(√3 ) ) Lets say s = 3 (since we are looking for a ratio and all sides are equal, we can use any number in the equation). T=3+2(3/(√3 ) ) = 6.46 Area of triangle = (6.46² x √3)/4=18 Area of square = 3² = 9 The ratio of the area of an equilateral triangle to the area of the inscribed square is 18/(9 )= 2/1=2:1

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  1. anonymous
    • 5 years ago
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    I came up with this: Sin (60) = s/l l = s/Sin60 = (2s√3)(1/3) Similar triangles t/s = l + s/s = 2/3s√3/s = 2√3/3 +1 t = (2√3/3 + 1)s t2 = (2/√3 + 1)2 = (4/3 + 1 + 4/√3)s2 = (7/3 + 4√3/3)s2 Area of a triangle: A = t2√3/4 = (7/3 + 4√3/3)s2/4 *√3 = (7√3/12 + 1)s2 Area of a square s2/(7√3/12 + 1)s2 = 1/7√3 + 12/12 = (12/7√3 + 12)(7√3 – 12/7√3 – 12) Area of a triangle = 84√3 – 144/147 – 144 = 84√3 – 144/3 = 28√3-48 = 12 + 7√3/12

  2. anonymous
    • 5 years ago
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    Well Daniel helped me. Its a team project, and now I need to choose which is best.

  3. myininaya
    • 5 years ago
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    so what info is given to us? every thing before you talked about the area of a square? and you are showing two answers right?

  4. anonymous
    • 5 years ago
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    yes I am showing two different answers... and the question is... hang on... let me get it... A square with sides of length s is inscribed in an equilateral triangle with sides of length t. Find the exact ratio of the area of the equilateral triangle to the area of the square.

  5. anonymous
    • 5 years ago
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    Key word .... exact ratio?? The other team member came up with a 2:1 and I came up with a square root over a number... I'm just looking for a second opinion.

  6. myininaya
    • 5 years ago
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    k i'm almost to a conclusion please wait

  7. anonymous
    • 5 years ago
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    good business

  8. myininaya
    • 5 years ago
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  9. myininaya
    • 5 years ago
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    see if that helps

  10. myininaya
    • 5 years ago
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    so i would say the answer is (12+7sqrt{3}):12

  11. anonymous
    • 5 years ago
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    you came up with a Different answer?? oh no

  12. anonymous
    • 5 years ago
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    ahhhh good! ok ... did you understand the ratio part of my first solution... did it make sense at all?

  13. anonymous
    • 5 years ago
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    why would the lady say 2:1 ?

  14. myininaya
    • 5 years ago
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    what lady

  15. anonymous
    • 5 years ago
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    as her answer

  16. anonymous
    • 5 years ago
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    like i said its a team project the first answer was hers and the second was mine

  17. anonymous
    • 5 years ago
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    you were the tie breaker :)

  18. myininaya
    • 5 years ago
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    so the ratio i got is what you got?

  19. myininaya
    • 5 years ago
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    is that bottom thing your ratio the 12 is under everything not just that last part right?

  20. anonymous
    • 5 years ago
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    yeah with a square root kind of answer

  21. anonymous
    • 5 years ago
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    yes

  22. myininaya
    • 5 years ago
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    in the middle i wrote my ratio if you wanted it

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  23. myininaya
    • 5 years ago
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    or if you didn't understand my conclusion without me writing my conlcusion there is my conclusion lol

  24. anonymous
    • 5 years ago
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    lol, thank you... I was right!!

  25. myininaya
    • 5 years ago
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    your way is different from mine but the conclusion we got is all that matters

  26. anonymous
    • 5 years ago
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    exactly... so what kind of resasoning do you have behind the first solution being ratio 2:1

  27. anonymous
    • 5 years ago
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    I need some math words to convince her my solution is right...

  28. myininaya
    • 5 years ago
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    ok so you want me to look and find fault with her logic

  29. anonymous
    • 5 years ago
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    if you could... as proof for me... please

  30. myininaya
    • 5 years ago
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    strike 1: it looks as if she rounded she has like 6.49 .....it says to find exact ....

  31. myininaya
    • 5 years ago
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    strike 2: when finding area of traingle she squared the base

  32. anonymous
    • 5 years ago
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    damn your good!

  33. myininaya
    • 5 years ago
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    the formula is 1/2*b*h

  34. anonymous
    • 5 years ago
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    yep

  35. myininaya
    • 5 years ago
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    you know if she didn't make those two mistakes she would had been good

  36. anonymous
    • 5 years ago
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    thank you.... I appreciate your time and help! :)

  37. myininaya
    • 5 years ago
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    actually i can understand her way alittle better because it was easier to compare her stuff to my notes because she had some similar expressions

  38. anonymous
    • 5 years ago
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    ok... very interesting...

  39. myininaya
    • 5 years ago
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    mean theres nothing wrong with your way lol

  40. anonymous
    • 5 years ago
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    no no... lol

  41. myininaya
    • 5 years ago
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    could you understood what i did

  42. anonymous
    • 5 years ago
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    yes... math on a deep level!

  43. myininaya
    • 5 years ago
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    :)

  44. anonymous
    • 5 years ago
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    Thank you again!

  45. myininaya
    • 5 years ago
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    your welcome

  46. amistre64
    • 5 years ago
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    didja get it ;)

  47. anonymous
    • 5 years ago
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    yes i sure did! How are you!

  48. amistre64
    • 5 years ago
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    Im fine thnx :) got some monies finally and now my car needs some work tho. The steering links have finally deteriorated to the point they need to be replaced. Need to get new track bar, tie rods, and a few bushings to get it back in shape.

  49. anonymous
    • 5 years ago
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    yeah that is no fun. I dropped 900 on my car... the control board went out and two front bushings! I could have found so much more to do with 900 buckaroos!! :)

  50. anonymous
    • 5 years ago
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    I am getting ready to go to Cancun! I will see you back in 5 days! Friday! I have one last week left in math! You will see me again!! Have a great week! Thanks for all your help!

  51. amistre64
    • 5 years ago
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    :) Good luck, and have fun ;)

  52. anonymous
    • 5 years ago
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    Hey do you have facebook?

  53. amistre64
    • 5 years ago
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    i do, but rarely use it lately ... Ynohtna Attertsim

  54. amistre64
    • 5 years ago
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    I use it mainly to spy on my kids lol

  55. amistre64
    • 5 years ago
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    I was thinking about making an account for just the math stuff tho; not sure how that would work...

  56. anonymous
    • 5 years ago
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    lol thats funny! The math thing would be neat!

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