Equalizers of a triangle

Shirali, Shailesh (2014) Equalizers of a triangle. At Right Angles, 3 (2). pp. 14-17. ISSN 2582-1873

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Abstract

In the March 2014 issue of At Right Angles, the article “A Fair Division” presented a study of a problem involving a geometrical division. A plot of land in the form of a scalene triangle is to be divided, as per the dictates of a whimsical will, into two parts having equal area as well as equal perimeter, using a straight dividing line. A simple argument shows that there always exists such a line; see [2]. In the mathematical literature, such a line has been called the equalizer of the triangle. It is known that any triangle has 1, 2 or 3 equalizers; see [4]. In this article we prove two results related to the equalizers.

Item Type:	Articles in APF Magazines
Authors:	Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Triangle, perimeter, area, ratio, incentre, equalizer, quadratic, roots
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1655
Publisher URL:	http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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