Question

Given the lengths of two sides of a triangle, is it possible to obtain (sharp) bounds for the average length of the sides of the triangle?

score 659 · Answer 1 · 2016-01-19 10:04:30

659

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Given the lengths of two sides of a triangle, is it possible to obtain (sharp) bounds for the average length of the sides of the triangle?

Published on 19 Jan 2016 - 10:04

score 352 · Answer 2 · 2026-04-11 03:27:12

352

Views

Common area between Circle and Equilateral triangle

Published on 11 Apr 2026 - 3:27

score 1k · Answer 3 · 2026-04-15 20:39:19

1k

Views

Why $a^{2}+b^{2}\neq c^{2}$ when $a=b=c=1$ doesn't violate Pythagoras' Theorem?

Published on 15 Apr 2026 - 20:39

score 79 · Answer 4 · 2026-04-11 11:19:09

79

Views

geometry perimeter for triangles

Published on 11 Apr 2026 - 11:19

score 71 · Answer 5 · 2026-04-09 20:55:04

71

Views

A trigonometry based triangle problem

Published on 09 Apr 2026 - 20:55

score 95 · Answer 6 · 2026-04-15 15:16:39

95

Views

Prove the triangle is equilateral

Published on 15 Apr 2026 - 15:16

score 11.3k · Answer 7 · 2026-04-03 14:50:25

11.3k

Views

Prove $||a| - |b||$ is less than or equal to $|a-b|$

Published on 03 Apr 2026 - 14:50

score 1k · Answer 8 · 2026-04-13 00:20:40

1k

Views

In a $\triangle ABC,$ Evaluation of minimum value of $\cot^2 A+\cot^2 B+\cot^2 C$

Published on 13 Apr 2026 - 0:20

score 109 · Answer 9 · 2026-04-13 18:11:53

109

Views

Triangle with same black and white areas

Published on 13 Apr 2026 - 18:11

score 5.3k · Answer 10 · 2026-04-17 10:32:31

5.3k

Views

Find the two other sides in a 15-30-135 triangle

Published on 17 Apr 2026 - 10:32

score 6.3k · Answer 11 · 2026-03-30 15:13:26

6.3k

Views

How to determine (and explain) the sum of angles without measuring?

Published on 30 Mar 2026 - 15:13

score 106 · Answer 12 · 2026-03-29 16:35:42

106

Views

$3$ Triangles and a quadrilateral

Published on 29 Mar 2026 - 16:35

score 198 · Answer 13 · 2026-04-12 05:36:34

198

Views

Finding segment in a right triangle.

Published on 12 Apr 2026 - 5:36

score 114 · Answer 14 · 2026-04-10 23:14:20

114

Views

Finding an angle between two vectors

Published on 10 Apr 2026 - 23:14

score 156 · Answer 15 · 2026-04-17 04:18:41

156

Views

Lowest possible value for k for triangle with an integer area

Published on 17 Apr 2026 - 4:18

List Question

Given the lengths of two sides of a triangle, is it possible to obtain (sharp) bounds for the average length of the sides of the triangle?

Common area between Circle and Equilateral triangle

Why $a^{2}+b^{2}\neq c^{2}$ when $a=b=c=1$ doesn't violate Pythagoras' Theorem?

geometry perimeter for triangles

A trigonometry based triangle problem

Prove the triangle is equilateral

Prove $||a| - |b||$ is less than or equal to $|a-b|$

In a $\triangle ABC,$ Evaluation of minimum value of $\cot^2 A+\cot^2 B+\cot^2 C$

Triangle with same black and white areas

Find the two other sides in a 15-30-135 triangle

How to determine (and explain) the sum of angles without measuring?

$3$ Triangles and a quadrilateral

Finding segment in a right triangle.

Finding an angle between two vectors

Lowest possible value for k for triangle with an integer area

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