# Need help on a very simple geometry problem

• Modernization
In summary, the side of a regular hexagon is twice the square root of its apothem. Using a formula for special triangles, we can determine that the length of the apothem is equal to the square root of the side length divided by 2 times the square root of 3.
Modernization

## Homework Statement

a side of a regular hexagon is twice the square root of its apothem. Find the length of the apothem and the side

## Homework 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

## 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

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

Modernization said:

## Homework Statement

a side of a regular hexagon is twice the square root of its apothem. Find the length of the apothem and the side

## Homework 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

## 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?

HallsofIvy said:
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" .

## What is a simple geometry problem?

A simple geometry problem is a mathematical question that involves basic geometric shapes and concepts, such as angles, lines, and polygons.

## Why do I need help with a simple geometry problem?

Sometimes, even the simplest geometry problems can be challenging to solve. It is always helpful to get a fresh perspective or additional guidance from others to ensure accuracy and understanding.

## What are some common types of simple geometry problems?

Some common types of simple geometry problems include finding the perimeter or area of a shape, identifying different types of angles or triangles, and solving basic equations involving geometric shapes.

## What are some tips for solving a simple geometry problem?

One tip is to carefully read and understand the problem before attempting to solve it. It can also be helpful to draw a diagram or use manipulatives to visualize the problem. Additionally, using known formulas and equations can make solving simple geometry problems easier.

## Where can I find help for a simple geometry problem?

You can find help for a simple geometry problem from various sources, such as textbooks, online tutorials, or asking a teacher or classmate for assistance. There are also many geometry problem-solving apps and tools available for additional support.

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