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
Uncontrolled Keywords: Euler, Inequality, Circumcircle, Circumradius, Incircle, Inradius
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 13 May 2020 05:45
Last Modified: 13 May 2020 05:45
URI: http://publications.azimpremjifoundation.org/id/eprint/2318
Publisher URL:

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