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MathNet 2026 — Part 02 Question 59

Math Olympiad Vault · MathNet 2026 — Part 02

Question 59

Let $ABCD$ be a rectangle base trapezoid $AB$ and $CD$, with right angles at $A$ and $D$. Since the smaller diagonal $BD$ is perpendicular to the side $BC$, determine the lowest possible value for the ratio $\frac{CD}{AD}$.