Erdős-Mordell-type inequalities (Q1025800)
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scientific article; zbMATH DE number 5568927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Erdős-Mordell-type inequalities |
scientific article; zbMATH DE number 5568927 |
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Erdős-Mordell-type inequalities (English)
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23 June 2009
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The Erdős-Mordell inequality states that if \(P\) is a point in the interior of a triangle \(ABC\) whose distances from the vertices of the triangle are \(p\), \(q\) and \(r\) and from its sides are \(x\), \(y\) and \(z\); then: \(p+q+r\geq 2(x+y+z).\) In this paper a short elementary algebraic proof of this fact is given.
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Erdös-Mordell inequality
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0.9469055
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0.9351903
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