Euler’s inequality for the circumradius and inradius of a triangle

Shirali, Shailesh (2020) Euler’s inequality for the circumradius and inradius of a triangle. At Right Angles (6). pp. 58-62. ISSN 2582-1873

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Abstract

For any arbitrary triangle ABC, let R denote its circumradius and r its inradius (Figure 1). It was the Swiss-German mathematician Leonhard Euler who first observed that regardless of the shape of the triangle, the following inequality is invariably true:

Item Type:	Articles in APF Magazines
Authors:	Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Euler, Inequality, Circumcircle, Circumradius, Incircle, Inradius
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/2318
Publisher URL:

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