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trapeziod

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Tony Welscher

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Mar 2, 2007, 9:04:24 AM3/2/07
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First let me say that if this is too simple for this site I am sorry. I'm
just a old timer that is trying to maximize my cuts on a sheet of plywood.

Trapezoid Question
I know the base measurement and the angles of the trapezoid.
I need the sides and the top to be equal
Is there a formula that I can input the base length and angles to find the
3 equal sides?

The reverse to this question
I know the equal length of the 2 sides and the top. I know the degrees of
the angles
Is there a formula that will tell what the base needs to be.

Thanks for your help
Tony

--
Tony Welscher

G.E. Ivey

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Mar 2, 2007, 11:04:55 AM3/2/07
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This is a good place to post the question but not TWICE!

Peter Chang

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Jul 8, 2008, 8:08:24 AM7/8/08
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Suppose the included angle between the base and its adjacent side is a, the length of the base is b.

The formula for its area A is

A = b^2sin(a)[1 + cos(a)]/[1 + 2cos(a)]^2

If A is given, to find b, use the following formula

b = sqrt{A[1 + 2cos(a)]/[sin(a)(1 + cos(a))]}


http://www.idealmath.com

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