Shirali, Shailesh
(2014)
Equalizers of a triangle.
At Right Angles, 3 (2).
pp. 1417.
ISSN 25821873
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.
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