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2022 SSMO Relay Round 3 Problems/Problem 2

Revision as of 12:11, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T=</math> TNYWR. In cyclic quadrilateral <math>ABCD,</math> <math>\angle{BAD}=60^{\circ},</math> and <math>BC=CD=T.</math> If <math>AB</math> is a positi...")
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Problem

Let $T=$ TNYWR. In cyclic quadrilateral $ABCD,$ $\angle{BAD}=60^{\circ},$ and $BC=CD=T.$ If $AB$ is a positive integer, find twice the median of all (not necessarily distinct) possible values of $AB$.

Solution

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