List questions from triangle-inequality

Published on 22 Feb 2026 - 19:45

1.1k

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Gre question : finding length of sides of a triangle given the longest side length and each side has an integer length

Published on 26 Oct 2018 - 2:18

405

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Successive prime numbers and triangles

Published on 02 Apr 2019 - 9:31

769

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Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$

Published on 22 Oct 2014 - 16:45

229

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For $a$, $b$, $c$ the sides of a triangle, show $ 7(a+b+c)^3-9(a+b+c)\left(a^2+b^2+c^2\right)-108abc\ge0$

Published on 22 Dec 2019 - 8:53

129

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If $\vert x - a \vert < \frac{1}{2}\vert a\vert$, then $\frac{1}{2}\vert a\vert < \vert x \vert$?

Published on 26 Dec 2019 - 1:30

1.6k

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When does equality hold in the triangle inequality?

Published on 28 Dec 2019 - 14:47

231

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Prove length relationship of median and sides in triangle using triangle inequality

Published on 28 Dec 2019 - 16:38

490

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Prove $a^2 + b^2 \geq 2ab$ using Triangle Inequality

Published on 29 Dec 2019 - 7:32

744

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Guessing the third side of the triangle from the given two sides

Published on 31 Dec 2019 - 4:49

353

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Triangle inequality for suprema?

Published on 08 Jan 2020 - 9:01

80

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An application of the Triangle Inequality

Published on 09 Jan 2020 - 21:17

224

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Show that $D$ is a distance function.

Published on 13 Jan 2020 - 15:25

43

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Help with proving $|a_{n}|\geq \frac{|a|}{2}$

Published on 07 Feb 2020 - 6:47

73

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Metrics on $\mathbb{R}^k$ that don't behave well with respect to sums

Published on 08 Feb 2020 - 15:01

List Question

Norm squared inequality

Gre question : finding length of sides of a triangle given the longest side length and each side has an integer length

Successive prime numbers and triangles

Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$

For $a$, $b$, $c$ the sides of a triangle, show $ 7(a+b+c)^3-9(a+b+c)\left(a^2+b^2+c^2\right)-108abc\ge0$

If $\vert x - a \vert < \frac{1}{2}\vert a\vert$, then $\frac{1}{2}\vert a\vert < \vert x \vert$?

When does equality hold in the triangle inequality?

Prove length relationship of median and sides in triangle using triangle inequality

Prove $a^2 + b^2 \geq 2ab$ using Triangle Inequality

Guessing the third side of the triangle from the given two sides

Triangle inequality for suprema?

An application of the Triangle Inequality

Show that $D$ is a distance function.

Help with proving $|a_{n}|\geq \frac{|a|}{2}$

Metrics on $\mathbb{R}^k$ that don't behave well with respect to sums

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