MathDB
2021 Team P1

Source:

March 2, 2021
geometry

Problem Statement

Given a trapezoid with bases ABAB and CDCD, there exists a point EE on CDCD such that drawing the segments AEAE and BEBE partitions the trapezoid into 33 similar isosceles triangles, each with long side twice the short side. What is the sum of all possible values of CDAB\frac{CD}{AB}?
Proposed by Adam Bertelli
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