The Golden Ratio — Hidden in Plain Sight

<p>There are many ways to do it, most involving trigonometry with angles of size 36&deg;, 54&deg; or 72&deg;.</p> <p>One such method is shown below, where I finally fumbled my way to work out an expression for the ratio between the two pentagons&rsquo; side lengths: 2tan(54&deg;)cos(54&deg;).</p> <p>The working shown below is not particularly clear, but don&rsquo;t worry about the details &mdash; it&rsquo;s not the focus of this article!</p> <p><a href="https://www.cantorsparadise.com/the-golden-ratio-hidden-in-plain-sight-%EF%B8%8F-%EF%B8%8F-f8db69f3e1cd"><strong>Learn More</strong></a></p>
Tags: Golden Ratio