Regular Octagon ProblemDate: 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/ |
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