MathDB
2013 BMT Individual 19

Source:

January 18, 2022
geometry

Problem Statement

Equilateral triangle ABCABC is inscribed in a circle. Chord ADAD meets BCBC at EE. If DE=2013DE = 2013, how many scenarios exist such that both DBDB and DCDC are integers (two scenarios are different if ABAB is different or ADAD is different)?