Equalizers of a triangle

SHIRALI, SHAILESH (2014) Equalizers of a triangle. At Right Angles, 3 (2). pp. 14-17.

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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
Uncontrolled Keywords: Triangle, perimeter, area, ratio, incentre, equalizer, quadratic, roots
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 29 Oct 2018 13:06
Last Modified: 18 Jan 2019 10:00
URI: http://publications.azimpremjifoundation.org/id/eprint/1655
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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