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Need help on a very simple geometry problem

by Modernization
Tags: geometry, simple
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Modernization
#1
Feb28-07, 10:24 PM
P: 10
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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gammamcc
#2
Mar1-07, 01:13 AM
P: 151
How about making a formula for the ratio length of side and apothem? Replace the side length of the hexagon from the info. Solve.
HallsofIvy
#3
Mar1-07, 05:18 AM
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Thanks
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P: 39,361
Quote Quote by Modernization View Post
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?

Modernization
#4
Mar1-07, 02:51 PM
P: 10
Need help on a very simple geometry problem

Quote Quote by HallsofIvy View Post
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" .
gammamcc
#5
Mar1-07, 04:16 PM
P: 151
Try this
http://mathworld.wolfram.com/Apothem.html

and this

http://en.wikipedia.org/wiki/Apothem


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