Euler’s Inequality for Circumradius and Inradius (Q6551249)
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scientific article; zbMATH DE number 7860899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Euler’s Inequality for Circumradius and Inradius |
scientific article; zbMATH DE number 7860899 |
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Euler’s Inequality for Circumradius and Inradius (English)
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6 June 2024
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This note presents a brief proof of Euler's inequality for the circumradius \(R\) and the inradius \(r\) of a triangle, \(R\geq 2r\), based on the use of trigonometric functions. The proof is elementary in nature and can be accessible to high-school students.
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