A Friendly Pair of Triangles
Nandi, Avipsha (2020) A Friendly Pair of Triangles. At Right Angles. pp. 7985. ISSN 25821873
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Abstract
In this article, I show that for any given triangle ABC, there exist two triangles that are inscribed in it and have the following properties: the two triangles have equal area, and their centroids are equidistant from the centroid of △ABC. As the two triangles are related in such a nice way, I call them a “friendly pair” of triangles.
Item Type:  Articles in APF Magazines  

Authors:  Nandi, Avipsha  
Document Language: 


Uncontrolled Keywords:  Incircle, Excircle, Inscribed triangle, Centroid, Area formula, Position vector  
Subjects:  Natural Sciences > Mathematics  
Divisions:  Azim Premji University > University Publications > At Right Angles  
Full Text Status:  Public  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/3028  
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