Question

Prove that orthocenter of the triangle formed by the arc midpoints of triangle ABC is the incenter of ABC

score 672 · Answer 1 · 2020-05-29 18:49:36

672

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Prove that orthocenter of the triangle formed by the arc midpoints of triangle ABC is the incenter of ABC

Published on 29 May 2020 - 18:49

score 2.4k · Answer 2 · 2026-04-01 07:55:49

2.4k

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How to find if a 3d point is in/on/outside of tetrahedron

Published on 01 Apr 2026 - 7:55

score 145 · Answer 3 · 2020-05-30 11:37:10

145

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If the angles of $\triangle ABC$ satisfy $\sin A+\sin B+\sin C\leq 1$, then show that one of them is more than $150^\circ$

Published on 30 May 2020 - 11:37

score 186 · Answer 4 · 2020-05-30 16:30:42

186

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If $\cos B\cos C +\sin B\sin C \sin^2A=1$, then triangle ABC is what kind of triangle?

Published on 30 May 2020 - 16:30

score 95 · Answer 5 · 2026-03-27 14:57:09

95

Views

Intersecting Secants Theorem

Published on 27 Mar 2026 - 14:57

score 458 · Answer 6 · 2020-05-30 20:05:25

458

Views

Square inside a right angled triangle.

Published on 30 May 2020 - 20:05

score 542 · Answer 7 · 2026-04-01 19:15:28

542

Views

A parallel line through the incenter of a triangle

Published on 01 Apr 2026 - 19:15

score 102 · Answer 8 · 2020-05-31 14:42:30

102

Views

Started "doing" Pythagorean theorem problems with isosceles triangles today ...

Published on 31 May 2020 - 14:42

score 311 · Answer 9 · 2026-03-25 22:11:18

311

Views

Area of a triangle as a function of its bisectors.

Published on 25 Mar 2026 - 22:11

score 58 · Answer 10 · 2020-06-01 22:05:26

58

Views

Angle between two midpoints equals angle between point at perpendicular from top to base to other midpoint

Published on 01 Jun 2020 - 22:05

score 374 · Answer 11 · 2020-06-02 15:08:31

374

Views

Finding an unknown angle in a right-angled triangle

Published on 02 Jun 2020 - 15:08

score 89 · Answer 12 · 2026-03-26 12:58:13

89

Views

Triangular Inequality: Want resolution of the following discrepancy?

Published on 26 Mar 2026 - 12:58

score 103 · Answer 13 · 2020-06-03 02:27:56

103

Views

Is there a unified formula for the lengths of the median, angle bisector, and altitude of a triangle?

Published on 03 Jun 2020 - 2:27

score 84 · Answer 14 · 2026-03-27 23:48:11

84

Views

Find angles $A$ and $B$ in equation $\frac{F_1}{\cos A }=\frac{F_2}{\cos B}=\frac{F_3}{\sin(A+B)}$

Published on 27 Mar 2026 - 23:48

score 73 · Answer 15 · 2026-04-03 05:48:43

73

Views

finding the special point of triangle when perpendicular lengths from a point is given and a condition of minimum.

Published on 03 Apr 2026 - 5:48

List Question

Prove that orthocenter of the triangle formed by the arc midpoints of triangle ABC is the incenter of ABC

How to find if a 3d point is in/on/outside of tetrahedron

If the angles of $\triangle ABC$ satisfy $\sin A+\sin B+\sin C\leq 1$, then show that one of them is more than $150^\circ$

If $\cos B\cos C +\sin B\sin C \sin^2A=1$, then triangle ABC is what kind of triangle?

Intersecting Secants Theorem

Square inside a right angled triangle.

A parallel line through the incenter of a triangle

Started "doing" Pythagorean theorem problems with isosceles triangles today ...

Area of a triangle as a function of its bisectors.

Angle between two midpoints equals angle between point at perpendicular from top to base to other midpoint

Finding an unknown angle in a right-angled triangle

Triangular Inequality: Want resolution of the following discrepancy?

Is there a unified formula for the lengths of the median, angle bisector, and altitude of a triangle?

Find angles $A$ and $B$ in equation $\frac{F_1}{\cos A }=\frac{F_2}{\cos B}=\frac{F_3}{\sin(A+B)}$

finding the special point of triangle when perpendicular lengths from a point is given and a condition of minimum.

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