## need help on a very simple geometry problem

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

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 How about making a formula for the ratio length of side and apothem? Replace the side length of the hexagon from the info. Solve.

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 Quote by Modernization 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
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?

## need help on a very simple geometry problem

 Quote by HallsofIvy 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?
My answer was wrong. I'm guessing there's another method to solve this, like plugging in numbers... Instead of making X the unknown value, i used "a" .