A Sangaku-like Puzzle from Japan

<p>Consider the right-angled triangle on the bottom right. The opposite side is 1 as it&rsquo;s the unit length of the square.</p> <p>Using the tangent function, we find the length of the adjacent side of the triangle.&nbsp;</p> <p>Therefore, we can sum up the three segments to find the side length of the equilateral triangle.</p> <p>So how do we show that the area of the outer triangle is about twenty times that of the inner triangle? Notice that&nbsp;<strong>the inner triangle is in fact an equilateral triangle with side length 1</strong>.</p> <p><a href="https://medium.com/intuition/a-sangaku-like-puzzle-from-japan-627b9151892d"><strong>Click Here</strong></a></p>
Tags: Sangaku