Difference between revisions of "2022 SSMO Speed Round Problems/Problem 5"
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Revision as of 13:59, 3 July 2023
Problem
In a parallelogram of dimensions a point is choosen such that Find the sum of the maximum, , and minimum values of If you think there is no maximum, let
Solution
A translation that takes to takes to Thus, meaning is cyclic. From Ptolemy's Theorem, meaning the answer is