A geometry problem by Worranat Pakornrat
Geometry
Level
4
Consider all sets of 4 points \(A, B, C, D \) which satisfy the following conditions:
- \(AB\) is an integer.
- \(BC = AB + 1 \).
- \(CD = BC + 1\).
- \( DA = CD + 1\).
- \(AC= DA + 1\)
- \( AC \) divides \( AB \times CD + BC \times DA \).
Over all such sets, what is \( \max \lceil BD \rceil \)?
by
Worranat Pakornrat