An Original Heptagonal Problem

Geometry Level 5

Consider the above construction on a regular heptagon where the distance of the point of intersection of the indicated diagonals from the indicated edge is called \(r\). Also, consider the scalene triangle (not shown) whose vertices are some suitably chosen three vertices of the same regular heptagon. Let its inradius be called \(R\). What is the ratio \(R:r\)?

×

Problem Loading...

Note Loading...

Set Loading...