The sides of a regular octagon are "s". Find a formula for the distance between the parallel sides of the octagon.

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The sides of a regular octagon are "s". Find a formula for the distance between the parallel sides of the octagon.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hmmm... an 8 sided polygon If the sides are equal to 1 then we can call it a unit octagon.... what are the interior angles of an octagon equal to?
360/8 = 45 degrees 45/2 = 22.5 degrees tan(22.5) degrees = s/2x ; where x= half the distance across. 2x = s/tan(22.5) x= s*cot(22.5)/2 ; x is half the distance, so lets multiply both sides by "2" to get the full distance across d= s*cot(22.5). Thats the best I can come up with. the total distance across is equal to
I don't have a problem with using trig to solve it. However this was in an algebra 2 text in a chapter using radicals in equations. the students haven't had trig. But thanks.

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