octagon with equal sides by removing 4 right triangles from a rectangle
Source: 1962-63 Germany R4 12.4 https://artofproblemsolving.com/community/c3208025_
October 12, 2024
geometryoctagonrectangle
Problem Statement
Consider a rectangle with sides and , where . There should be four congruent right triangles (one triangle at each vertex of this rectangle , whose legs are on the sides of the rectangle lie) must be cut off so that the remaining figure forms an octagon with sides of equal length. The side of the octagon is to be expressed in terms of a and and constructed from and . Besides that it must be stated under which conditions the problem can be solved.