# Need help on a very simple geometry problem

by Modernization
Tags: geometry, simple
 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
 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.
Math
Emeritus
Thanks
PF Gold
P: 39,682
 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?

P: 10
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" .
 P: 151

 Related Discussions General Physics 1 Precalculus Mathematics Homework 3 General Math 2 General Math 2 General Math 2