List questions from geometric-inequalities

Published on 01 Oct 2017 - 5:53

277

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Minimum and maximum value related to the sides of the quadrilateral.

Published on 04 Oct 2017 - 3:51

555

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A Square Inside A Triangle (but with a twist)

Published on 06 Oct 2017 - 8:11

88

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Enigma: Inequality for two triangles

Published on 10 Oct 2017 - 18:42

79

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Quadrilateral in Square

Published on 11 Oct 2017 - 3:11

141

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Geometry task about inequalities

Published on 03 Nov 2017 - 16:23

96

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Let $ABC$ be a triangle with $AC>AB$, a median is drawn from the vertex $A$ intersecting the side $BC$ at $D$. Prove that $\angle BAD>\angle CAD$.

Published on 23 Feb 2026 - 13:29

105

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A tricky geometric inequality

Published on 18 Dec 2017 - 20:23

429

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Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$

Published on 25 Mar 2026 - 21:49

504

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Poincaré's inequality for vector fields on a surface

Published on 04 Jan 2018 - 12:23

1k

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Show that $\sin^2(x)+\sin^2(y)+\sin^2(z) \le9/4$ where $x, y, z$ are angles of a triangle

Published on 12 Jan 2018 - 7:25

316

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Proof of inequality

Published on 15 May 2011 - 11:28

596

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An inequality satisfied by the circumradius and inradius of a right triangle

Published on 30 Jul 2011 - 3:47

1.1k

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In a acute angled triangle, we have $\tan(A)\cdot\tan(B)\cdot\tan(C) \geq 3\sqrt{3}$

Published on 13 Aug 2011 - 6:40

618

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Geometric inequality: $2r^2+8Rr \leq \frac{a^2+b^2+c^2}{2}$

Published on 31 Dec 2011 - 10:43

List Question

In triangle $ABC$ , $CH$ is a height and we have: $AB\leq 2CH$.Find maximum value of $\angle C$.

Minimum and maximum value related to the sides of the quadrilateral.

A Square Inside A Triangle (but with a twist)

Enigma: Inequality for two triangles

Quadrilateral in Square

Geometry task about inequalities

Let $ABC$ be a triangle with $AC>AB$, a median is drawn from the vertex $A$ intersecting the side $BC$ at $D$. Prove that $\angle BAD>\angle CAD$.

A tricky geometric inequality

Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$

Poincaré's inequality for vector fields on a surface

Show that $\sin^2(x)+\sin^2(y)+\sin^2(z) \le9/4$ where $x, y, z$ are angles of a triangle

Proof of inequality

An inequality satisfied by the circumradius and inradius of a right triangle

In a acute angled triangle, we have $\tan(A)\cdot\tan(B)\cdot\tan(C) \geq 3\sqrt{3}$

Geometric inequality: $2r^2+8Rr \leq \frac{a^2+b^2+c^2}{2}$

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