Question

Finding orthocentre of $\Delta$ formed by intercepts of plane $3x+y+3z=9$

score 29 · Answer 1 · 2020-04-02 17:26:15

29

Views

Finding orthocentre of $\Delta$ formed by intercepts of plane $3x+y+3z=9$

Published on 02 Apr 2020 - 17:26

score 270 · Answer 2 · 2020-06-13 02:39:32

270

Views

Finding the area of an isosceles triangle with inradius $\sqrt{3}$ and angle $120^\circ$. Different approaches give different results.

Published on 13 Jun 2020 - 2:39

score 192 · Answer 3 · 2020-07-25 21:48:56

192

Views

3 new Points lying on Jerabek Hyperbola?

Published on 25 Jul 2020 - 21:48

score 516 · Answer 4 · 2016-08-19 13:25:30

516

Views

An interesting geometry problem about incenter and ellipses.

Published on 19 Aug 2016 - 13:25

score 341 · Answer 5 · 2023-02-08 23:05:35

341

Views

Hard geometry problem: given a triangle with sides 16, 30, 34, find the area of the triangle introduced by the inscribed circle

Published on 08 Feb 2023 - 23:05

score 200 · Answer 6 · 2023-03-29 04:40:00

200

Views

A formula involving the projection of the orthocenter onto a median

Published on 29 Mar 2023 - 4:40

score 145 · Answer 7 · 2023-04-05 03:08:21

145

Views

What is the relation between a triangle’s centroid and its pedal triangle?

Published on 05 Apr 2023 - 3:08

score 227 · Answer 8 · 2023-04-17 09:09:41

227

Views

A special point of a triangle related to the nine point circle

Published on 17 Apr 2023 - 9:09

score 91 · Answer 9 · 2023-04-21 02:05:55

91

Views

Equal angles in the circumcircle mid-arc triangle

Published on 21 Apr 2023 - 2:05

score 54 · Answer 10 · 2023-04-21 04:15:09

54

Views

Does the sequence of circumcircle mid-arc triangles converge to an equilateral triangle?

Published on 21 Apr 2023 - 4:15

score 68 · Answer 11 · 2023-04-23 12:10:56

68

Views

Circumellipse of elongated parallelogram

Published on 23 Apr 2023 - 12:10

score 127 · Answer 12 · 2023-05-09 04:31:29

127

Views

In $\triangle ABC$, the circumcenter is $O$, the interior center is $I$, and center of gravity is $G$. If $IG \parallel BC$, prove $OI \perp AI$.

Published on 09 May 2023 - 4:31

score 49 · Answer 13 · 2023-06-23 04:50:33

49

Views

Displacement of the excentral triangles

Published on 23 Jun 2023 - 4:50

score 39 · Answer 14 · 2023-07-02 23:01:21

39

Views

Two parallel asymptotes of a triangle

Published on 02 Jul 2023 - 23:01

score 569 · Answer 15 · 2023-07-16 12:57:36

569

Views

Distances of Fermat point from vertices of a triangle

Published on 16 Jul 2023 - 12:57

List Question

Finding orthocentre of $\Delta$ formed by intercepts of plane $3x+y+3z=9$

Finding the area of an isosceles triangle with inradius $\sqrt{3}$ and angle $120^\circ$. Different approaches give different results.

3 new Points lying on Jerabek Hyperbola?

An interesting geometry problem about incenter and ellipses.

Hard geometry problem: given a triangle with sides 16, 30, 34, find the area of the triangle introduced by the inscribed circle

A formula involving the projection of the orthocenter onto a median

What is the relation between a triangle’s centroid and its pedal triangle?

A special point of a triangle related to the nine point circle

Equal angles in the circumcircle mid-arc triangle

Does the sequence of circumcircle mid-arc triangles converge to an equilateral triangle?

Circumellipse of elongated parallelogram

In $\triangle ABC$, the circumcenter is $O$, the interior center is $I$, and center of gravity is $G$. If $IG \parallel BC$, prove $OI \perp AI$.

Displacement of the excentral triangles

Two parallel asymptotes of a triangle

Distances of Fermat point from vertices of a triangle

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