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### Regular Octagon Problem

```Date: 09/03/2005 at 15:28:34
From: John
Subject: Length of the sides of a Octagon given

What are the lengths of the sides of a regular octagon if the distance
between opposing sides is 20 feet?

```

```
Date: 09/04/2005 at 00:16:11
From: Doctor Julien
Subject: Re: Length of the sides of a Octagon given

Hello John,

Let's take a look at the top of the octagon.  It looks something like
this:

-----
/       \
/         \
A|           |B
|           |

We know the distance between A and B is 20.  So let's just draw the
top 3 sides.

x
-----
x /       \ x
/_________\
20

We know the angle between the sides with length x is 135 degrees.  Can
you figure out what x must be from here?

(Hint: Divide the figure above into a rectangle and two isosceles
right triangles.)

- Doctor Julien, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Triangles and Other Polygons

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