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MathNet 2017-part-05 — 176 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)

Question 70

The point $M$ is on the incircle of the square $ABCD$. Show that $MA \cdot MB \cdot MC \cdot MD \le 5$.