Question

Triangle apparently has two equivalent angles, but not really

score 52 · Answer 1 · 2026-04-10 22:18:28

52

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Triangle apparently has two equivalent angles, but not really

Published on 10 Apr 2026 - 22:18

score 67 · Answer 2 · 2026-03-29 20:27:23

67

Views

proving angle formed by simson line equals another angle

Published on 29 Mar 2026 - 20:27

score 74 · Answer 3 · 2023-08-09 12:50:27

74

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Let $ABC$ be right angled at $A$. The perpendicular at $C$ on $BC$ and the median of side $AC$ intersect at $S$.

Published on 09 Aug 2023 - 12:50

score 124 · Answer 4 · 2026-03-29 20:20:47

124

Views

HELP A synthetic geometry problem involving the inscribed circle of a triangle

Published on 29 Mar 2026 - 20:20

score 151 · Answer 5 · 2026-03-25 07:44:52

151

Views

Let $ABC$ be a triangle. Let $D$ and $E$ such that $AB \perp BD$, $AC \perp CE$Prove that $\bigtriangleup FBC$ is an isosceles right angled.

Published on 25 Mar 2026 - 7:44

score 168 · Answer 6 · 2023-08-10 14:21:33

168

Views

Find X-coordinate of vertex, when Y-coordinate is given along with the other two vertices in a triangle

Published on 10 Aug 2023 - 14:21

score 59 · Answer 7 · 2026-04-01 01:38:38

59

Views

We denote by $a,b,c$ the sides of a triangle whose vertices were chosen from the vertices of a regular pentagon. Calculate $(a-b)(b-c)(c-a)$.

Published on 01 Apr 2026 - 1:38

score 84 · Answer 8 · 2023-08-10 22:15:31

84

Views

Geometry question on triangles involving ratio of lines drawn from vertices to any arbitrary point P in the interior of the triangle.

Published on 10 Aug 2023 - 22:15

score 109 · Answer 9 · 2026-04-01 18:14:29

109

Views

Geometry question: equidistant center point of 45-45-90 triangle

Published on 01 Apr 2026 - 18:14

score 109 · Answer 10 · 2026-04-01 12:51:55

109

Views

HELP On the sides of the triangle $ABC$ we consider the points $M,N,P$ so that $\frac{MB}{MC}=\frac{NC}{NA}=\frac{PA}{ PB}=k$, where $k\neq1$.

Published on 01 Apr 2026 - 12:51

score 65 · Answer 11 · 2026-04-11 12:00:40

65

Views

Right angle formed using incentre

Published on 11 Apr 2026 - 12:00

score 129 · Answer 12 · 2023-08-12 21:43:38

129

Views

If the bisector of $\angle A$ in $\triangle ABC$ meets $BC$ at $U$, prove that $AU^2 =bc\left(1-\frac{a^2}{(b+c)^2}\right)$

Published on 12 Aug 2023 - 21:43

score 85 · Answer 13 · 2026-03-25 15:42:32

85

Views

Smallest possible value of $k$ such that the roots of $x^2-127x+k=0$ are positive integers

Published on 25 Mar 2026 - 15:42

score 232 · Answer 14 · 2026-03-29 20:21:26

232

Views

Answer with no trigonometry... Let $\triangle ABC$ be isosceles with $AB=AC$. Let $D$ such that $BD=AD$. Calculate the angles of the triangle $AED$.

Published on 29 Mar 2026 - 20:21

score 854 · Answer 15 · 2026-03-30 17:54:58

854

Views

Is it possible to explain geometrically why $\arctan (1/2) +\arctan (1/3) = 45$ degrees?

Published on 30 Mar 2026 - 17:54

List Question

Triangle apparently has two equivalent angles, but not really

proving angle formed by simson line equals another angle

Let $ABC$ be right angled at $A$. The perpendicular at $C$ on $BC$ and the median of side $AC$ intersect at $S$.

HELP A synthetic geometry problem involving the inscribed circle of a triangle

Let $ABC$ be a triangle. Let $D$ and $E$ such that $AB \perp BD$, $AC \perp CE$Prove that $\bigtriangleup FBC$ is an isosceles right angled.

Find X-coordinate of vertex, when Y-coordinate is given along with the other two vertices in a triangle

We denote by $a,b,c$ the sides of a triangle whose vertices were chosen from the vertices of a regular pentagon. Calculate $(a-b)(b-c)(c-a)$.

Geometry question on triangles involving ratio of lines drawn from vertices to any arbitrary point P in the interior of the triangle.

Geometry question: equidistant center point of 45-45-90 triangle

HELP On the sides of the triangle $ABC$ we consider the points $M,N,P$ so that $\frac{MB}{MC}=\frac{NC}{NA}=\frac{PA}{ PB}=k$, where $k\neq1$.

Right angle formed using incentre

If the bisector of $\angle A$ in $\triangle ABC$ meets $BC$ at $U$, prove that $AU^2 =bc\left(1-\frac{a^2}{(b+c)^2}\right)$

Smallest possible value of $k$ such that the roots of $x^2-127x+k=0$ are positive integers

Answer with no trigonometry... Let $\triangle ABC$ be isosceles with $AB=AC$. Let $D$ such that $BD=AD$. Calculate the angles of the triangle $AED$.

Is it possible to explain geometrically why $\arctan (1/2) +\arctan (1/3) = 45$ degrees?

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