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

shubhamsrg Group Title

what is the ratio of area of a traingle ABC to the area of the triangle whose sides are equal to the medians of ABC ?

  • 2 years ago
  • 2 years ago

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

    or,,prove that this ratio always equals 4/3

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

    im watching :)

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

    |dw:1350313254678:dw|

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

    x^2 + h^2 = c^2 and y^2 +h^2 = b^2, x+y = a x^2-y^2 = c^2-b^2 ......hmm might be better off with Cosine Rule:-(

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

    Yukky algebra....think, think...

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

    |dw:1350318976709:dw|

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

    |dw:1350319309051:dw|

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

    |dw:1350319508249:dw|

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

    152 is a quarter 123 -> 123/235 is 4/3 -> 143/362 is 4/3 as well

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

    Think that's right...

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

    why is 352 half of 362 ?

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

    Median divides triangle area in half?

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

    how is 35 a median ?

    • 2 years ago
  14. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350323581495:dw|

    • 2 years ago
  15. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    72 || 34 coz 72 is the midsegment

    • 2 years ago
  16. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350323706822:dw|

    • 2 years ago
  17. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    7824 is a parallelog gram, now imagine we translate it down

    • 2 years ago
  18. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350323784808:dw|

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

    Yes, sorry, I didn't make the construction very clear.......

    • 2 years ago
  20. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    it translates to 1672

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

    why will 87 meet 6 ?

    • 2 years ago
  22. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    diagonals bisect each other in ||gram

    • 2 years ago
  23. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so 65=52

    • 2 years ago
  24. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    87 meets at 6, thats right, but before that we should prove this : 326 is the triangle made by medians

    • 2 years ago
  25. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    87 meets at 6 becoz, 47 is congruent to 26, 42 is congruent to 21

    • 2 years ago
  26. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the only tricky part in this proof i see is proving this : 326 is the triangle made by medians

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

    i still dont get 876 thing..

    • 2 years ago
  28. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok did u get estudier diagram

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

    yep..i followed every bit till now..

    • 2 years ago
  30. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    he constructed, 26 \(\cong\) 47

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

    yes..

    • 2 years ago
  32. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    26 is just translation of 47, so they are || one more construction he did is, he translated other median also, the translated medians intersect at 6. (we can prove this, later)

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

    ahh alright,,so 36 isnt a median yet..okay,,

    • 2 years ago
  34. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    assume it is a median so that we prove the thing at hand, :)

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

    alright,,

    • 2 years ago
  36. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    72 || 84, agree ?

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

    yes..

    • 2 years ago
  38. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    becoz 72 is the midsegment

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

    yes,,i could figure out..

    • 2 years ago
  40. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    7284 is a ||gram i have constructed

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

    7248*

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

    yes,,clear till now..

    • 2 years ago
  43. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    also, 74 congruent to 62, by construction

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

    okay,,7426 is a //gm..

    • 2 years ago
  45. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    now imagine we slide the ||gram 7248 along the side 41

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

    so you're saying those 2 //gms are congruent..

    • 2 years ago
  47. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the diagonal in the ||gram 7248 translated to where ?

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

    coincides with 62

    • 2 years ago
  49. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350324847401:dw|

    • 2 years ago
  50. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the diagonal 74 coincides wid 62 the side 42 coincides wid 21

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

    yes,,the 2 //gms are congruent..

    • 2 years ago
  52. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1350324939445:dw|

    • 2 years ago
  53. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    7248 congruent 6127

    • 2 years ago
  54. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    we just use this : 6127 is a ||gram that gives 5 is midpoint of diagonal 62

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

    that one we already knew right ?

    • 2 years ago
  56. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which one ? i thought we're trying to prove 5 is midpoint of 62 lol

    • 2 years ago
  57. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    whats ur question

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

    we knew 5 was the mid point quite earlier..after that assumption, everything fitted..those 2 became congruent //gms and everything else..

    • 2 years ago
  59. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no

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

    ??

    • 2 years ago
  61. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    those 2 became congruent || grams by construction, 5 got nothing to do wid it

    • 2 years ago
  62. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    let me put everything in one reply

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

    we assumed 36 to be the median..that gave 16 // 27 ..by which it was a //gm,, and thus 5 was the midpoint ( 2 diagnols intersected)

    • 2 years ago
  64. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok if that make sense good :)

    • 2 years ago
  65. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so only assumption we need to prove is 36 is a median, right ?

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

    yep..

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

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

    excellency yet again..!! thank you @sauravshakya

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

    and big thank you to @ganeshie8 ..your idea was used here after all..

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

    + @estudier you sparked the figure, ofcourse ! :P

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

    I managed to get an outline of this just with algebra --- what a mess!!

    • 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.