MathDB
RMT 2011 Geometry #4 , (SMT #12 )

Source:

September 6, 2022
geometry

Problem Statement

Let ABC\vartriangle ABC be equilateral. Two points DD and EE are on side BCBC (with order B,D,E,CB, D, E, C), and satisfy DAE=30o\angle DAE = 30^o . If BD=2BD = 2 and CE=3CE = 3, what is BCBC? https://cdn.artofproblemsolving.com/attachments/c/8/27b756f84e086fe31b5ea695f51fb6c78b63d0.png