Rhea K.

asked • 04/05/15

Finding ratio from diagnol to side in a regular pentagon

Given a regular pentagon, find the ratio of the diagonal d, to its side a.

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Mark M. answered • 04/05/15

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The ratio of the diagonal to the side is the golden ratio:
 
(1 + √5) / 2 ≈ 1.61803399
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Rhea K.

That is what my teacher put as the answer but I was wondering how you got that. Do you mind explaining how to get the solution? If not, it is ok.
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04/05/15

Mark M.

Rhea, 
 
Several derivations exist. Most to lengthy to present here. 
 
Go to MatematicasVisuales.com
Click "English"
Click "Geometry"
Scroll down to "The Golden Ratio"
Click on "The diagonal of a regular pentagon."
 
 
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04/05/15

Rhea K.

Thank you
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04/05/15

Mark M.

You are welcome.
 
Copy it down and give it as a presentation to your class!
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04/05/15

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