List questions from geometric-inequalities

Published on 30 Apr 2016 - 9:49

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Cosine Inequality

Published on 01 May 2016 - 0:35

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How to determine if a point lies in this particular convex region?

Published on 01 May 2016 - 15:54

548

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How to prove this geometry inequality (1) with $2(DF+EF)\ge BC$

Published on 10 May 2016 - 14:49

344

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Proving $x\leq \tan(x)$

Published on 17 May 2016 - 21:34

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Maximum area of a triangle when perimeter is fixed.

Published on 23 May 2016 - 14:28

102

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Prove inequality: $\frac{P+2004a}{P-2a}\cdot\frac{P+2004b}{P-2b}\cdot\frac{P+2004c}{P-2c}\ge2007^3.$

Published on 19 Jun 2016 - 15:49

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How to find the restrictions of side length on an obtuse triangle

Published on 20 Jun 2016 - 9:01

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Proving Gerretsen's Inequality

Published on 29 Jun 2016 - 3:11

212

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How to prove this inequality $xy\sin^2C+yz\sin^2A+zx\sin^2B\le\dfrac{1}{4}$

Published on 18 May 2013 - 6:14

507

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Geometric Inequality Related To Median, Altitude

Published on 11 Jun 2013 - 14:57

393

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Show that $\frac 1 2 <\frac{ab+bc+ca}{a^2+b^2+c^2} \le 1$

Published on 19 Jun 2013 - 9:29

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If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

Published on 25 Mar 2026 - 6:29

205

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Proving an extension to nesbitts inequality: $\frac a{b+c}+\frac b{c+a}+\frac c{a+b}\lt 2$

Published on 16 Aug 2013 - 19:53

275

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How prove this inequality

Published on 25 Mar 2026 - 6:25

List Question

Geometric inequality $180^{\circ}\left(1-\frac1n\right)\le \angle{AMB}$

Cosine Inequality

How to determine if a point lies in this particular convex region?

How to prove this geometry inequality (1) with $2(DF+EF)\ge BC$

Proving $x\leq \tan(x)$

Maximum area of a triangle when perimeter is fixed.

Prove inequality: $\frac{P+2004a}{P-2a}\cdot\frac{P+2004b}{P-2b}\cdot\frac{P+2004c}{P-2c}\ge2007^3.$

How to find the restrictions of side length on an obtuse triangle

Proving Gerretsen's Inequality

How to prove this inequality $xy\sin^2C+yz\sin^2A+zx\sin^2B\le\dfrac{1}{4}$

Geometric Inequality Related To Median, Altitude

Show that $\frac 1 2 <\frac{ab+bc+ca}{a^2+b^2+c^2} \le 1$

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

Proving an extension to nesbitts inequality: $\frac a{b+c}+\frac b{c+a}+\frac c{a+b}\lt 2$

How prove this inequality

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