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Triangle

Discussion in 'General Discussion' started by Skeeter, 20 Oct 2009.

  1. Skeeter

    Caporegime

    Joined: 8 Mar 2007

    Posts: 37,147

    Location: Surrey

    The below triangle is made up of some shapes.

    [​IMG]

    But, if you move the shapes around to form the triangle below, then a square of space appears? Where does this square come from? Its the same shapes, and the same triangle is formed?

    [​IMG]

    Again, dont post the answer straight away, let the 1 or 2 people who dont already know have a bash :p
     
  2. EdGey

    Sgarrista

    Joined: 21 Jan 2008

    Posts: 8,110

    Location: England

    already been posted in another thread a while back, still pretty cool though.
     
  3. apeZ

    Mobster

    Joined: 22 Sep 2008

    Posts: 4,302

    Location: Kent, England

    seen before, can't remember though :/
     
  4. SlyReaper

    Soldato

    Joined: 26 Apr 2008

    Posts: 6,502

    Location: Bristol, Old Blighty

    They're not triangles.
     
  5. Skeeter

    Caporegime

    Joined: 8 Mar 2007

    Posts: 37,147

    Location: Surrey

    :confused:
     
  6. D D Danneh

    Mobster

    Joined: 8 Feb 2009

    Posts: 3,467

    Location: Sheffield

    Yeah. Cool how it works. The triangles aren't the same gradient.
     
  7. SlyReaper

    Soldato

    Joined: 26 Apr 2008

    Posts: 6,502

    Location: Bristol, Old Blighty

    A triangle has 3 sides. The top picture has 4.
     
  8. Skeeter

    Caporegime

    Joined: 8 Mar 2007

    Posts: 37,147

    Location: Surrey

    seen as both pictures are made of the same shapes, the bottom one must too.
     
  9. D D Danneh

    Mobster

    Joined: 8 Feb 2009

    Posts: 3,467

    Location: Sheffield

    The entire triangle does, yes, but you said triangleS (plural) :p.

    Edit: Nevermind, brain fart, I seem to have forgotten there's two "overall" triangles. :D
     
  10. TheCenturion

    Capodecina

    Joined: 18 Mar 2008

    Posts: 12,752

    Yeah, the same triangle hasn't been formed.

    Trigonometry at its best :p
     
  11. Skeeter

    Caporegime

    Joined: 8 Mar 2007

    Posts: 37,147

    Location: Surrey

    Yeah, I figured this would keep those looking for geometric solutions to the earlier ones happy.
     
  12. SlyReaper

    Soldato

    Joined: 26 Apr 2008

    Posts: 6,502

    Location: Bristol, Old Blighty

    No, the bottom shape has 8 sides because it has a 3 sided chunk bitten out of it. If that chunk were filled in, it would have 4 sides.
     
  13. D D Danneh

    Mobster

    Joined: 8 Feb 2009

    Posts: 3,467

    Location: Sheffield

    8 sides if you want to get pedantic :p
     
  14. TheCenturion

    Capodecina

    Joined: 18 Mar 2008

    Posts: 12,752

    Clearly, the area of the bottom triangle is 1 unit squared bigger than the top. that's why the hole has appeared
     
  15. SlyReaper

    Soldato

    Joined: 26 Apr 2008

    Posts: 6,502

    Location: Bristol, Old Blighty

    Bah you're right. Edited.
     
  16. TheCenturion

    Capodecina

    Joined: 18 Mar 2008

    Posts: 12,752

    it's seven sided?
     
  17. SlyReaper

    Soldato

    Joined: 26 Apr 2008

    Posts: 6,502

    Location: Bristol, Old Blighty

    No, 8. Count them.
     
  18. RastaManBob

    Wise Guy

    Joined: 30 Dec 2003

    Posts: 2,254

    Neither of the two (complete/large) triangles are actually triangles.

    The top triangle hypotenuse bows in slightly, whilst the bottom triangle hypotenuse bows out slightly.

    This is because the red and dark green smaller triangles that compose the hypotenuse are both of different gradients (The red is 0.375 and the green is 0.4).
     
  19. TheCenturion

    Capodecina

    Joined: 18 Mar 2008

    Posts: 12,752

    I'm confused, the four sides of the traingle, + 3 made by the cutout shape :confused:
     
  20. uknowist

    Wise Guy

    Joined: 25 Nov 2003

    Posts: 2,429

    Location: Pub

    dunno if its answered, but isnt it sumin to do with the red triangle having different angles or something lol