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MathNet 2026 — Part 01 Question 74

Math Olympiad Vault · MathNet 2026 — Part 01

Question 74

One of the diagonals of an inscribable quadrilateral is a diameter of its circumscribed circle. Question illustration Check that the intersections $E$ and $F$ of the perpendicular lines by $A$ and $C$, respectively, at the straight $BD$ satisfies $$
DE = BF
$$