Difference between revisions of "2023 SSMO Accuracy Round Problems/Problem 10"
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Latest revision as of 22:22, 15 December 2023
Problem
Let be a triangle such , , . Let the incircle of touch at , at , and at . Let be the line through the midpoints of and . Define and similarily. Let the area of the star created by the union of and the triangle bound by , , and be for relatively prime and . Find .