Nested Regular Polygons

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows an interesting nesting of successive regular polygons, starting with an equilateral triangle up to a chosen -gon. If the side length of the triangle is 1, can you show that the side of the square is equal to
(approximately 0.966) and that the side of the pentagon equals
(approximately 0.905)?
Contributed by: Jaime Rangel-Mondragon (July 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Nested Regular Polygons"
http://demonstrations.wolfram.com/NestedRegularPolygons/
Wolfram Demonstrations Project
Published: July 26 2011