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no of isosceles triangles with angle >120 in a regular 2013-gon

Source: Mathley 2014.1 p3

August 20, 2020
combinatoricscombinatorial geometryisosceles

Problem Statement

Given a regular 20132013-sided polygon, how many isosceles triangles are there whose vertices are vertices vertex of given polygon and haave an angle greater than 120o120^o?
Nguyen Tien Lam, High School for Natural Science,Hanoi National University.
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