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Part of 2023 Chile National Olympiad

Problems(1)

2023 triangles of equal area, by 2022 points, equilateral

Source: 2023 Chile NMO L2 P3 - Senior version of 2023 Chile NMO L1 P3

5/19/2024
Let △ABC\vartriangle ABC be an equilateral triangle with side 11. 10111011 points P1P_1, P2P_2, P3P_3, ......, P1011P_{1011} on the side ACAC and 10111011 points Q1Q_1, Q2Q_2, Q3Q_3, ...... ,Q1011 Q_{1011} on side AB (see figure) in such a way as to generate 20232023 triangles of equal area. Find the length of the segment AP1011AP_{1011}. https://cdn.artofproblemsolving.com/attachments/f/6/fea495c16a0b626e0c3882df66d66011a1a3af.png PS. Harder version of [url=https://artofproblemsolving.com/community/c4h3323135p30741470]2023 Chile NMO L1 P3
geometryEquilateralareas