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Need help on a very simple geometry problem

  1. Feb 28, 2007 #1
    1. The problem statement, all variables and given/known data
    a side of a regular hexagon is twice the square root of its apothem. Find the length of the apothem and the side

    2. Relevant equations
    a formula for special triangle
    90 degree side is doubled the 30 degree side, and 60 degree side is root 3 times the 30 degree side

    3. The attempt at a solution

    after drawing the pictures and do the math, i got:
    side: 2 times square root of a; a stands for apothem, an unknown value
    apothem: square root of a times square root of three
  2. jcsd
  3. Mar 1, 2007 #2
    How about making a formula for the ratio length of side and apothem? Replace the side length of the hexagon from the info. Solve.
  4. Mar 1, 2007 #3


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    Science Advisor

    In your second line, you say that "a stands for apothem" (You mean that a stands for the length of the apothem- let's be precise!) but in the third line you say "apothem: square root of a times square root of three". Obviously a is not the length of the apothem in that line; what is a?
  5. Mar 1, 2007 #4
    My answer was wrong.:confused: I'm guessing there's another method to solve this, like plugging in numbers... Instead of making X the unknown value, i used "a" .
  6. Mar 1, 2007 #5
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