List questions from geometric-inequalities

Published on 19 Feb 2016 - 11:33

171

Views

How to prove $|a^{2} + b^{2} + c^{2} - 2\left( ab+bc+ac\right)| \le \frac{1}{27}$

Published on 23 Mar 2026 - 0:38

446

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Putnam 2015 and Ravi Substitution

Published on 02 Mar 2016 - 5:45

49

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Show $|x-y'|\leq |x-y|$ where $0<|x|\leq |y|<1$ and $y'=(1-|x-y|)y/|y|$

Published on 04 Mar 2016 - 11:54

305

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Why do inequalities matter and what are they used for?

Published on 13 Mar 2016 - 19:33

150

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Inequality involving triangle and the sum $a^2+b^2+c^2$

Published on 14 Mar 2016 - 14:21

54

Views

Solving an inequality fot hyperbolas

Published on 17 Mar 2016 - 9:06

111

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Inequality involving circumradii

Published on 17 Mar 2016 - 14:55

259

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Inequality involving inradius, exradii, sides, area, semiperimeter

Published on 18 Mar 2016 - 6:03

187

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Geometric inequality involving the inradius

Published on 18 Mar 2016 - 19:08

272

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Let P be any point inside a triangle $\triangle ABC$. Geometric Inequality

Published on 11 Apr 2016 - 3:14

107

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Finding the area under the given parameters

Published on 15 Apr 2016 - 13:34

60

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Prove that there is at least one acute triangle from 5 segments, each 3 of them form a triangle

Published on 21 Apr 2016 - 7:21

108

Views

inequality involving heights and bisectors

Published on 29 Apr 2016 - 18:04

252

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Geometric inequality involving sides of the triangle

Published on 29 Apr 2016 - 19:58

List Question

Geometric inequality $\frac{R_a}{2a+b}+\frac{R_b}{2b+c}+\frac{R_c}{2c+a}\geq\frac{1}{\sqrt3}$

How to prove $|a^{2} + b^{2} + c^{2} - 2\left( ab+bc+ac\right)| \le \frac{1}{27}$

Putnam 2015 and Ravi Substitution

Show $|x-y'|\leq |x-y|$ where $0<|x|\leq |y|<1$ and $y'=(1-|x-y|)y/|y|$

Why do inequalities matter and what are they used for?

Inequality involving triangle and the sum $a^2+b^2+c^2$

Solving an inequality fot hyperbolas

Inequality involving circumradii

Inequality involving inradius, exradii, sides, area, semiperimeter

Geometric inequality involving the inradius

Let P be any point inside a triangle $\triangle ABC$. Geometric Inequality

Finding the area under the given parameters

Prove that there is at least one acute triangle from 5 segments, each 3 of them form a triangle

inequality involving heights and bisectors

Geometric inequality involving sides of the triangle

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