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Posers and Puzzles

Posers and Puzzles

  1. 20 Feb '07 19:41
    One of the sides of a regular hexagon is 1cm. Find the area of the hexagon.

    Show your work.
  2. 20 Feb '07 19:58
    Originally posted by GinoJ
    One of the sides of a regular hexagon is 1cm. Find the area of the hexagon.

    Show your work.
    A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60

    Near enough?
  3. 20 Feb '07 20:05 / 1 edit
    Originally posted by FabianFnas
    A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60

    Near enough?
    The answer is a "natural number" if I must give a clue. [edit]Il also has an extremely short solution.
  4. 20 Feb '07 20:16
    Really? 'Natural' as in 'Positive Integer'? Are we that close to a revolution in euclidian geometry then?
  5. 20 Feb '07 20:17 / 1 edit
    Originally posted by Mephisto2
    Really? 'Natural' as in 'Positive Integer'? Are we that close to a revolution in euclidian geometry then?
    0,1,2,3,4,5,6,7,8,9 etc...


    [edit] Eliminate 0.

    So, another clue: It's a positive integer.
  6. 20 Feb '07 20:26
    The very simple solution is expressed as a positive integer number of cm²?
  7. Standard member PBE6
    Bananarama
    20 Feb '07 20:28 / 1 edit
    Originally posted by GinoJ
    0,1,2,3,4,5,6,7,8,9 etc...


    [edit] Eliminate 0.

    So, another clue: It's a positive integer.
    There's no chance it's a positive integer. The area is (3/2)*SQRT(3), as reported (rounded) above. No matter how many times you multiply an irrational number by a rational one (other than 0 of course), you'll never get a positive integer.
  8. 20 Feb '07 20:33 / 2 edits
    La solution est:

    1.5a
    a*a=3
  9. 20 Feb '07 20:41 / 1 edit
    Originally posted by FabianFnas
    A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60

    Near enough?
    This is correct, I'm not quite sure why GinoJ thinks that it's not. Perhaps, Gino, you can show us your idea? According to what I'm learning at school, Fabian gave a fully correct answer. That is the way how this exercise should be solved. Perhaps you didn't mean a hexagon but a polygon with different number of sides.
  10. 20 Feb '07 20:46
    Originally posted by GinoJ
    OK, then.

    [edit]

    1.5a
    a*a=3
    So, '1.5a' is a positive integer a.k.a. 'natural number'? You make me feel sorry about myself to even want to read this forum anymore.
  11. 20 Feb '07 20:46
    Originally posted by kbaumen
    This is correct, I'm not quite sure why GinoJ thinks that it's not. Perhaps, Gino, you can show us your idea? According to what I'm learning at school, Fabian gave a fully correct answer. That is the way how this exercise should be solved. Perhaps you didn't mean a hexagon but a polygon with different number of sides.
    Are you blind?
  12. 20 Feb '07 20:47
    Originally posted by Mephisto2
    So, '1.5a' is a positive integer a.k.a. 'natural number'? You make me feel sorry about myself to even want to read this forum anymore.
    I was tricking you guys.
  13. 20 Feb '07 21:03
    Originally posted by GinoJ
    I was tricking you guys.
    Don't try, Gino, Explain your natural answer, or what your flaw in your reasoning...

    Don't "I was tricking you" me...
  14. 20 Feb '07 21:05
    Originally posted by FabianFnas
    Don't try, Gino, Explain your natural answer, or what your flaw in your reasoning...

    Don't "I was tricking you" me...
    Ok, sire.
  15. 20 Feb '07 21:10 / 3 edits
    Hey Fabian, thank God I am bein' soft G.