A Friendly Pair of Triangles

Nandi, Avipsha (2020) A Friendly Pair of Triangles. At Right Angles. pp. 79-85. ISSN 2582-1873

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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:	Language English
Uncontrolled Keywords:	Incircle, Ex-circle, 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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