Given square ABCD with E on AB, F on BC, G on CD, H on DA, AE=BF=CG=DH. Segments AF, BG, CH, CE dissect the square into 4 triangles, 4 trapezoids and a central square.

If circles can be inscribed in the trapezoids which have the same radius as the inscribed circle of the central square, find AE/AB.

The required value of AE/AB in conformity with the given conditions is approximately 0.57735

Posted by K Sengupta on 2022-07-12 22:22:00