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For All Of U Who Are Good At Math..

Discussion in 'Members' Lounge' started by 22crazy, May 4, 2003.

  1. 22crazy

    22crazy Senior Member

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    whats up. i have a question that been pissing me off and i was wondering if any of you could solve it. the question: if you construct equalateral triangles of the sides of a quaderlateral, alternately inward and outward, when you connect the vertex of each triangle, the result is a parallelogram. Prove it (the parallelogram that is formed). ill see if i can make the picture.
     
  2. 22crazy

    22crazy Senior Member

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  3. BigJ

    BigJ I'm just about that action Boss. VIP

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    Yeah looks to me like some seriously hard proof that must be written to prove that one. I am just in mathanalysis in sophomore year of high school so I am little under that problem for now.
     
  4. vpSPOONsol

    vpSPOONsol Senior Member

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    well simply u just take the second derivative of the intergral of A to B, assuming that the distance from A to C is equal.... u then muliply that by the sides of the parrallogram, which gives u = j/p... im taking calculus for my senior year right now, and i dont have ur answer.
    im sure some of the older college grad guys can answer that though...
     
  5. Baker

    Baker Senior Member

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    I could probably do it but the resulting headache would not make it worthwhile
     
  6. 22crazy

    22crazy Senior Member

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    well can anyone help me, its been bugging me alot and i need to complete it. thanx for the help though. i no it has to do something with the 60 degrees in the equalateral triangles and also, u have to construct a parallelogram within the quaderlateral: that is done by connecting the midpoints.
     
  7. BodyDroppedNikes

    BodyDroppedNikes ...PENDEJO.... VIP

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    :blink: <--this is me after reading this topic
     
  8. DazedCivic99

    DazedCivic99 Senior Member

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    is this supposed to be a 3D object?
    If it is i sorta see what you are going for but a little lost at the moment


    as for the calculas answer vpspoon you just reminded me that i need to study for my AP calculas test, damn you j/k
     
  9. 22crazy

    22crazy Senior Member

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    no its a 2D object...can anyone still help me
     
  10. pills_PMD

    pills_PMD Super Moderator

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    what math class is it for?
    there are probably several ways of doing it..

    and which part am i suposed to prove.. that the red lines are a parallelogra?M
     
  11. pissedoffsol

    pissedoffsol RETIRED

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    Calesta, i think this ones for you man :)
     
  12. CRX-YEM

    CRX-YEM Super Moderator Moderator VIP

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    man I can't remember the last time I did a geometric proof. I'd have to bust out my books, but I've got finals this week so that ain't happening.
     
  13. doofnoil

    doofnoil Senior Member

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    If you just have to prove that a parallelogram would exist, I would look at the relation between the sides of the quad. and the parallel. to see if they correspond ?
     
  14. lsvtec

    lsvtec GNU/Linux Evangelist

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    [​IMG]
    You need to prove that Angles 1 & 6 are equal, and anges 3 & 4 are equal. This proves that angles 2&5 are equal because the sums of 1, 2, & 3 and 4, 5, & 6 are both 60 degrees. Then all you have to do is prove that each pair of opposing sides are equal length. Then you have a parallelogram.
     
  15. dohcvtec_accord

    dohcvtec_accord WRX Sellout

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    I was wondering how long it would take you to get involved Eric. :D
     
  16. lsvtec

    lsvtec GNU/Linux Evangelist

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    I had to sit and think for a while. It has been forever since I did a Geometric proof. And even then (freshman year of HS) I wasn't very good at them.

    You could also simply prove that the opposite inside angles of the parallelogram are equal instead of showing the opposite sides equal.
     
  17. dohcvtec_accord

    dohcvtec_accord WRX Sellout

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    Exactly what I was going to say.

    *pushes non-existent glasses up on nose, goes for high-five with lsvtec, misses horribly, gives nerdy, snorty laugh*
     
  18. 22crazy

    22crazy Senior Member

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    actually those angles 4 3 and 1 6 are not equal, but yet 5 and 2 are....i was able to prove it using geometer sketch pad, but i dont no how to do it paper and pencil method
     
  19. Gen2Teg

    Gen2Teg Senior Member

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    i didn't even read the question, i just looked at the picture and it made my head hurt :blink:
     
  20. lsvtec

    lsvtec GNU/Linux Evangelist

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    What really matters in the angle-2 side proof is that the sum of 1 and 3 and the sum of 4 and 6 are equal (1 + 3 == 4 + 6 ), and that the larger triangle are isosolese (sp?). If the triangles are isosolese the the sum of the three angles is 60. If you can prove that 1 + 3 == 4 + 6 you have proven that angle 2 == angle 5.
     
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