Question

Calculate the distance between the tops of two triangles with a shared base, where all sides are known?

score 475 · Answer 1 · 2026-03-26 16:56:43

475

Views

Calculate the distance between the tops of two triangles with a shared base, where all sides are known?

Published on 26 Mar 2026 - 16:56

score 371 · Answer 2 · 2026-03-26 14:18:54

371

Views

∠C = 45° or 30°?

Published on 26 Mar 2026 - 14:18

score 464 · Answer 3 · 2020-03-26 11:24:45

464

Views

how do I find an angle of an isosceles triangle when it is next to a parallelogram?

Published on 26 Mar 2020 - 11:24

score 110 · Answer 4 · 2026-03-28 13:59:44

110

Views

Triangle inscribed in a circle - maximize $a^{2}+b^{2}+c^{2}$.

Published on 28 Mar 2026 - 13:59

score 240 · Answer 5 · 2026-03-31 16:26:55

240

Views

Prove that $\frac{[ABC]}{[XYZ]}=\frac{2R}{r}$, where $X$, $Y$, $Z$ are the points where the incircle of $\triangle ABC$ meets the sides

Published on 31 Mar 2026 - 16:26

score 376 · Answer 6 · 2026-03-26 09:50:04

376

Views

the sum of the reciprocals of the lengths of the interior angle bisectors of a triangle and the sum of the reciprocals of the lengths of the sides

Published on 26 Mar 2026 - 9:50

score 34 · Answer 7 · 2026-03-30 05:13:16

34

Views

Formula to move from centroid of equilateral towards the plane between vertices

Published on 30 Mar 2026 - 5:13

score 179 · Answer 8 · 2026-04-01 10:45:49

179

Views

For $\triangle ABC$ with circumradius $R$, orthocenter $H$, and nine-point center $O_9$, show $O_9A^2+O_9B^2+O_9C^2+O_9H^2=3R^2$.

Published on 01 Apr 2026 - 10:45

score 305 · Answer 9 · 2026-04-02 16:59:00

305

Views

Given a triangle and equation of all its sides, how do I understand if an internal angle is obtuse or acute?

Published on 02 Apr 2026 - 16:59

score 195 · Answer 10 · 2020-03-27 15:25:27

195

Views

Show for all positive integers, it is possible to paint all of the segments red.

Published on 27 Mar 2020 - 15:25

score 1.7k · Answer 11 · 2026-04-02 16:58:59

1.7k

Views

3 circles of radii 1,2 and 3 and centers A, B and C respectively, touch each other.......

Published on 02 Apr 2026 - 16:58

score 76 · Answer 12 · 2026-03-26 09:49:36

76

Views

Geometric inequality in triangle with inradius

Published on 26 Mar 2026 - 9:49

score 357 · Answer 13 · 2026-03-26 09:58:07

357

Views

For acute $\triangle ABC$, prove $(\cos A+\cos B)^2+(\cos A+\cos C)^2+(\cos B+\cos C)^2\leq3$

Published on 26 Mar 2026 - 9:58

score 189 · Answer 14 · 2026-03-28 10:16:37

189

Views

Examples of triangles, which related ellipses are perfectly packed with circles.

Published on 28 Mar 2026 - 10:16

score 42 · Answer 15 · 2020-03-29 23:14:33

42

Views

What is the area of x given some areas in this parallelogram?

Published on 29 Mar 2020 - 23:14

List Question

Calculate the distance between the tops of two triangles with a shared base, where all sides are known?

∠C = 45° or 30°?

how do I find an angle of an isosceles triangle when it is next to a parallelogram?

Triangle inscribed in a circle - maximize $a^{2}+b^{2}+c^{2}$.

Prove that $\frac{[ABC]}{[XYZ]}=\frac{2R}{r}$, where $X$, $Y$, $Z$ are the points where the incircle of $\triangle ABC$ meets the sides

the sum of the reciprocals of the lengths of the interior angle bisectors of a triangle and the sum of the reciprocals of the lengths of the sides

Formula to move from centroid of equilateral towards the plane between vertices

For $\triangle ABC$ with circumradius $R$, orthocenter $H$, and nine-point center $O_9$, show $O_9A^2+O_9B^2+O_9C^2+O_9H^2=3R^2$.

Given a triangle and equation of all its sides, how do I understand if an internal angle is obtuse or acute?

Show for all positive integers, it is possible to paint all of the segments red.

3 circles of radii 1,2 and 3 and centers A, B and C respectively, touch each other.......

Geometric inequality in triangle with inradius

For acute $\triangle ABC$, prove $(\cos A+\cos B)^2+(\cos A+\cos C)^2+(\cos B+\cos C)^2\leq3$

Examples of triangles, which related ellipses are perfectly packed with circles.

What is the area of x given some areas in this parallelogram?

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