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TST Tajikistan 2018 Day 1 Problem 2

Source:

July 10, 2018
TajikistanIMO TST 2018

Problem Statement

Problem 2. Prove that for every n≥3, there exists a convex polygon with n sides, such that one can divide it into n-2 triangles that are all similar, but pairwise non-congruent.
[color=#00f]Moved to HSO. ~ oVlad