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MathNet 2023-part-01 — 191 problems (EN–VI) Question 32

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 32

Let $ABCDEF$ be a regular hexagon with sidelength $s$. The points $P$ and $Q$ are on the diagonals $BD$ and $DF$, respectively, such that $BP = DQ = s$.
Prove that the three points $C$, $P$ and $Q$ are on a line.