Difference between revisions of "2023 SSMO Accuracy Round Problems/Problem 8"
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Latest revision as of 22:21, 15 December 2023
Problem
There is a quadrilateral inscribed in a circle with center . In quadrilateral , diagonal is a diameter of the circle, and Let be the base of the altitude from onto side . Let be the base of the altitude from onto . Given that and that the product of the lengths of the diagonals of is for some squarefree find