Introducing a New Golden Triangle

There are several well-known triangles, colloquially called golden triangles, which incorporate some aspect of the mathematical ratio know as phi, 1.61803…, symbolized by the Greek letter Φ. The triangles are called ‘golden’ because that mathematical constant is referred to as the Golden Ratio. That ratio comes about from the idea of cutting a line into two pieces such that the ratio of the two pieces to each other equals the ratio of the larger piece to the original whole piece. (If you are not familiar with the concept, see my example using a yardstick at the bottom of this post.) Previous studies of Golden Triangles have always started with the sides of triangles, probably because we learn about Φ in terms of length and pieces, as in the example I just gave. But I propose a new approach to looking for relationships in triangles by starting with the angles of a triangle. After all, while mathematicians may talk about trilaterals, in everyday conversation everyone else speaks of triangles. <a href="https://www.cantorsparadise.com/introducing-a-new-golden-triangle-dc7f2b455e28">Website</a>