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square can be cut into 10 triangles of equal area , with vertex P inside ABCD

Source: 2023 IGO Elementary P3

January 18, 2024
geometrycombinatoricscombinatorial geometrysquare

Problem Statement

Let ABCDABCD be a square with side length 11. How many points PP inside the square (not on its sides) have the property that the square can be cut into 1010 triangles of equal area such that all of them have PP as a vertex?
Proposed by Josef Tkadlec - Czech Republic
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