# Thread: Problem Of The Week #404 Feb 12th, 2020

1. Here is this week's POTW:

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Let $ABCD$ be a cyclic quadrilateral. The side lengths of $ABCD$ are distinct integers less than 15 such that $AB\cdot DA=BC \cdot CD$. What is the largest possible value of $BD$?

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Remember to read the "POTW submission guidelines to find out how to "submit your answers!

2.

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