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Math Problem; are you smart enough?

Discussion in 'Off Topic [BG]' started by aarono, Apr 6, 2006.


  1. aarono

    aarono

    Feb 14, 2006
    Minnesota
    Here it is:

    The right triangle with the sides 5, 12, and 13 has the property that its area is equal to its perimeter. Find another right triangle, also with sides of integral length, that has this property. Explain.

    Good luck if you feel like doing it.
     
  2. DigMe

    DigMe

    Aug 10, 2002
    Waco, TX
    Yeah, and after you do this kid's homework for him can someone do my lesson plans for next week?

    bc
     
  3. Munjibunga

    Munjibunga Total Hyper-Elite Member Gold Supporting Member

    May 6, 2000
    San Diego (when not at Groom Lake)
    Independent Contractor to Bass San Diego
    The area can't be equal to the perimeter, because the units don't match. One is one-dimensional and the other is two-dimentional (you know, length on one and area on another).
     
  4. that reminds me of those guys who were always trying to get people to make tabs for him fast by titling his threads "Tab competition! who can tab out *insert name here* fastest!"


    but in all seriousness, the answer is 42
     
  5. Geoff St. Germaine

    Geoff St. Germaine Commercial User

    First, you only have to concern yourself with pythagorean triples (right triangles with sides which are integer lengths). So you could just look them up and compute their areas and perimeters and see when they are equal.

    Algebraically you have to equate the perimeter and area:

    a + b + c = ab/2

    You can eliminate c using the Pythagorean theorem. Do some algebra and you get an equation:

    a = (4b-8)/(b-4)

    If you assume that b is an odd integer you get b = 5 (a = 12) and if you assume that it is even you get b = 6, 8, 12, (b = 8, 6, 5).

    So the other triangle is the 6, 8, 10 triangle.

    That was a waste of time. Back to coding. :mad: :crying:
     
  6. Geoff St. Germaine

    Geoff St. Germaine Commercial User

    The integer values can be equal.
     
  7. MJ5150

    MJ5150 Moderator Staff Member Supporting Member

    Apr 12, 2001
    Olympia, WA
    The fluxamization of the equation lends to the realization that the sum of all parts is a clear indication of the summarization of the simple recognition that the citification of the typer of this prose is giving undeniable notification that his pontificating of the situation gives clear evidence of a serious deficiency in understanding. Thus leaving said individual in mortification.

    -Mike
     
  8. Trevorus

    Trevorus

    Oct 18, 2002
    Urbana, IL
    Dude, my brain just imploded. Suprisingly, it didn't hurt all that much... :help:
     
  9. what about the dirivative?
     
  10. w3rd.
     
  11. aarono

    aarono

    Feb 14, 2006
    Minnesota
    :hyper:
     
  12. Munjibunga

    Munjibunga Total Hyper-Elite Member Gold Supporting Member

    May 6, 2000
    San Diego (when not at Groom Lake)
    Independent Contractor to Bass San Diego
    Mortification ... that's so true.
     
  13. Alvaro Martín Gómez A.

    Alvaro Martín Gómez A. TalkBass' resident Bongo + cowbell player

    I'm in doubt about the above statement, which isn't bad at all since the doubt as a philosophical tool is epistemologically plausible and implies an agnostic euphemism.
     
  14. Vorago

    Vorago (((o)))

    Jul 17, 2003
    Antwerp, Belgium
    Nice dictionary work Alvaro :D

    ;)
     
  15. Bruce Lindfield

    Bruce Lindfield Unprofessional TalkBass Contributor Gold Supporting Member In Memoriam


    There's always one....:p
     
  16. DigMe

    DigMe

    Aug 10, 2002
    Waco, TX
    This message brought to you by George Clinton and the Rev. Jesse Jackson.

    bc
     
  17. Brad Barker

    Brad Barker

    Apr 13, 2001
    berkeley, ca

    i see it as spill-over from peter mcferrin's pomo thread.
     

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