Question

How to prove that AE is the arithmetic mean of AB and AC

score 136 · Answer 1 · 2018-10-31 17:40:01

136

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How to prove that AE is the arithmetic mean of AB and AC

Published on 31 Oct 2018 - 17:40

score 1.7k · Answer 2 · 2018-11-01 11:49:33

1.7k

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What is the height of the intersection point when two triangles meet at a point. One triangle has the base 12 and the other 9

Published on 01 Nov 2018 - 11:49

score 223 · Answer 3 · 2026-03-25 12:54:24

223

Views

A novel (?) construction of the regular pentagon with straightedge and compass

Published on 25 Mar 2026 - 12:54

score 90 · Answer 4 · 2018-11-02 07:41:21

90

Views

can someone help in solving this triangle-circumcircle question?

Published on 02 Nov 2018 - 7:41

score 548 · Answer 5 · 2018-11-02 08:47:57

548

Views

What's the minimum area of this triangle?

Published on 02 Nov 2018 - 8:47

score 365 · Answer 6 · 2026-03-25 17:36:52

365

Views

A conjecture related to any triangle

Published on 25 Mar 2026 - 17:36

score 582 · Answer 7 · 2026-03-26 04:51:40

582

Views

Equations in trilinear coordinates for the line through two points, and the circle through three

Published on 26 Mar 2026 - 4:51

score 218 · Answer 8 · 2018-11-03 18:29:48

218

Views

Shortest closed Steiner chain of circles sandwiched between circumcircle and incircle of triangle

Published on 03 Nov 2018 - 18:29

score 30 · Answer 9 · 2018-11-03 19:49:46

30

Views

Midpoint of a segment

Published on 03 Nov 2018 - 19:49

score 132 · Answer 10 · 2026-02-23 01:06:10

132

Views

Finding lengths of sides on triangles with 3 given medians and lengths

Published on 23 Feb 2026 - 1:06

score 1.1k · Answer 11 · 2026-03-25 09:48:47

1.1k

Views

Determine all points $P$ on $\triangle ABC$ so that $|\triangle PAB| = |\triangle PBC|= |\triangle PAC|$.

Published on 25 Mar 2026 - 9:48

score 138 · Answer 12 · 2026-03-25 20:53:27

138

Views

$P$ is a point on the angular bisector of $\angle A$. Show that $\frac{1}{AB}+\frac{1}{AC}$ doesn't depend on the line through $P$

Published on 25 Mar 2026 - 20:53

score 139 · Answer 13 · 2018-11-05 15:13:33

139

Views

Proof of $tangent$ definition

Published on 05 Nov 2018 - 15:13

score 16k · Answer 14 · 2018-11-06 18:15:42

16k

Views

How to find the length of one of the sides of a triangle given the area

Published on 06 Nov 2018 - 18:15

score 152 · Answer 15 · 2026-03-25 19:03:36

152

Views

A simple conjecture (and a question) about three parabolas related to any triangle

Published on 25 Mar 2026 - 19:03

List Question

How to prove that AE is the arithmetic mean of AB and AC

What is the height of the intersection point when two triangles meet at a point. One triangle has the base 12 and the other 9

A novel (?) construction of the regular pentagon with straightedge and compass

can someone help in solving this triangle-circumcircle question?

What's the minimum area of this triangle?

A conjecture related to any triangle

Equations in trilinear coordinates for the line through two points, and the circle through three

Shortest closed Steiner chain of circles sandwiched between circumcircle and incircle of triangle

Midpoint of a segment

Finding lengths of sides on triangles with 3 given medians and lengths

Determine all points $P$ on $\triangle ABC$ so that $|\triangle PAB| = |\triangle PBC|= |\triangle PAC|$.

$P$ is a point on the angular bisector of $\angle A$. Show that $\frac{1}{AB}+\frac{1}{AC}$ doesn't depend on the line through $P$

Proof of $tangent$ definition

How to find the length of one of the sides of a triangle given the area

A simple conjecture (and a question) about three parabolas related to any triangle

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