Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

estudier Group Title

Area of square?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350208678915:dw|

    • 2 years ago
  2. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    What is that?

    • 2 years ago
  3. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    is that 5,7,10

    • 2 years ago
  4. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    A square, a point inside of it distances from 3 vertices as shown

    • 2 years ago
  5. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    9,10,7

    • 2 years ago
  6. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    This is for experimentX, who loves algebra..:-)

    • 2 years ago
  7. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    haha ... you are kidding!!

    • 2 years ago
  8. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    It's not too hard..(it's still too early)

    • 2 years ago
  9. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    is that all info??

    • 2 years ago
  10. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    if we call ne side a then the area is \[A=a^2\]

    • 2 years ago
  11. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    and the side is less than 17

    • 2 years ago
  12. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    according to triangle equality

    • 2 years ago
  13. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350209046775:dw|

    • 2 years ago
  14. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[9^2=a^2+10^2-2(10)(a)\cos \theta\] \[762=10^2+a^2-2(a)(10)\cos (90-\theta)\]

    • 2 years ago
  15. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    2 var 1 equation suggests simultaneous equations as the way to go....

    • 2 years ago
  16. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1350209083317:dw|

    • 2 years ago
  17. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    i meant 7^2|dw:1350176811646:dw|

    • 2 years ago
  18. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    JonasK is on the right track

    • 2 years ago
  19. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what about using the area rule

    • 2 years ago
  20. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    probably @hartnn method would work out too ... since they are all independent equations.

    • 2 years ago
  21. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Probably...

    • 2 years ago
  22. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    "what about using the area rule" U just want to get rid of the 90- bit and then you can get rid of theta

    • 2 years ago
  23. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes

    • 2 years ago
  24. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    still that's quite a bit of algebra since they are all non linear equations ... let's try something better.

    • 2 years ago
  25. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    okay

    • 2 years ago
  26. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Cos of angle opposite 7 is sin theta....

    • 2 years ago
  27. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350209708034:dw|

    • 2 years ago
  28. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    What I mean is that if angle opposite 9 is theta, then cos of angle opposite 7 is sin theta

    • 2 years ago
  29. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    As JonasK had it at first...

    • 2 years ago
  30. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    expX, now eliminate theta....

    • 2 years ago
  31. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you know i rely on wolf for this http://www.wolframalpha.com/input/?i=2*10*a+sin%28theta%29+%3D+10^2+%2B+a^2++-+9^2%2C+2*10*a+cos%28theta%29+%3D+10^2+%2B+a^2++-+7^2

    • 2 years ago
  32. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[32=-20(a)\cos \theta+20(a)\sin \theta\]

    • 2 years ago
  33. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Don't be lazy....:-)

    • 2 years ago
  34. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    haha ..

    • 2 years ago
  35. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Sin and Cos should auto response.....

    • 2 years ago
  36. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\frac{ 32 }{ -20 a}=\cos \theta -\sin \theta\]

    • 2 years ago
  37. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\cos \theta -\sin \theta =\sqrt{2} \sin(45-\theta)\]

    • 2 years ago
  38. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    with - before

    • 2 years ago
  39. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @Jonask An identity (well known) in Sin and Cos?

    • 2 years ago
  40. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    haa ... i was being fool trying to eliminate theta directly.

    • 2 years ago
  41. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350210145598:dw|

    • 2 years ago
  42. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    A bit messy but sufficient...:-)

    • 2 years ago
  43. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    seems great

    • 2 years ago
  44. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    still quartic equation is pretty awful ... i must say!!

    • 2 years ago
  45. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, squaring and adding gets shot of theta...

    • 2 years ago
  46. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    U get after simplification...400x^2 = (x^2 +19)^2 + (x^2 +51)^2 -> x^4 -130 x^2 +1481

    • 2 years ago
  47. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Which is quadratic in x^2

    • 2 years ago
  48. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Oh .. that's pretty nice!!

    • 2 years ago
  49. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    direct answer.

    • 2 years ago
  50. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    let \[-10^2-a^2=b\] \[\frac{ (7^2 -b)^2}{ (-20a )^2}+\frac{ (9^2-b)^2 }{ (20a)^2 }=1\]

    • 2 years ago
  51. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    @estudier seems better

    • 2 years ago
  52. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350210434675:dw| x+2y = 7 ..(1) y^2 + (x+y)^2 = 81 ..(2) hope that does it..

    • 2 years ago
  53. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    correction : x+2y = 10

    • 2 years ago
  54. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    solving shouldnt be much problem since from (1) , x+y = 10-y and we plug that directly in (2)

    • 2 years ago
  55. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    the line with lenght 10 is not necessarily a diagonal when extrapolated ??

    • 2 years ago
  56. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    not sure

    • 2 years ago
  57. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Eh? Some extra ssumptions there....

    • 2 years ago
  58. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh..lol..so sorry! :P

    • 2 years ago
  59. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    no prob

    • 2 years ago
  60. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[a=10,834, a=3,552\]

    • 2 years ago
  61. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    can we eliminate according to triangle inequality 3,552 such that \[A=(10,834)^2\]

    • 2 years ago
  62. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    65 + 14 sqrt 14 I think.

    • 2 years ago
  63. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    same thing i just approaximated it

    • 2 years ago
  64. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[A=(\sqrt{64+14\sqrt{14}} )^2\]

    • 2 years ago
  65. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[A=65+14\sqrt{14}\]

    • 2 years ago
  66. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    @shubhamsrg if we consider the triangles to be equilateral then how wuld we solve it |dw:1350178935156:dw| with common side 10,

    • 2 years ago
  67. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    equilateral ?

    • 2 years ago
  68. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350179036162:dw| such that the legth is now diagonal

    • 2 years ago
  69. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    you mean like this: |dw:1350211506937:dw| ??

    • 2 years ago
  70. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes

    • 2 years ago
  71. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    for that i had given the solution above.. x+2y = 10 ..(1) y^2 + (x+y)^2 = 81 ..(2) from (1), x+y = 10-y and we plug this in (2) to solve for y, and x and ultimately area..

    • 2 years ago
  72. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    • 2 years ago
    2 Attachments
  73. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    nice work @sauravshakya

    • 2 years ago
  74. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanx @Jonask

    • 2 years ago
  75. Jonask Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what disqualifies 65-14root14

    • 2 years ago
  76. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @Jonask That's for x^2, remember....

    • 2 years ago
  77. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think I have written reason for that too.

    • 2 years ago
  78. estudier Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @sauravshakya Yes, good job (I think he just forgot it was for x^2)

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.