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2021 WSMO Team Round Problems/Problem 15

Revision as of 21:16, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>ABCD</math> and <math>DEFG</math> (vertices labelled clockwise) be squares that intersect exactly once and with areas <math>1011^2</math> and <math>69^2<...")
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Problem

Let $ABCD$ and $DEFG$ (vertices labelled clockwise) be squares that intersect exactly once and with areas $1011^2$ and $69^2$ respectively. There exists a constant $M$ such that $CE+AG>M$ where $M$ is maximized. Find $M.$

Proposed by MathLuis

Solution

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