Question

Suppose an acute triangle $ABC. D,E\in |BC|, |AD|=|CD|, |AE|=|BE|. F: FD||AB, FE||AC. $ Show that $|FB|=|FC|$.

score 36 · Answer 1 · 2026-04-15 21:58:50

36

Views

Suppose an acute triangle $ABC. D,E\in |BC|, |AD|=|CD|, |AE|=|BE|. F: FD||AB, FE||AC. $ Show that $|FB|=|FC|$.

Published on 15 Apr 2026 - 21:58

score 227 · Answer 2 · 2026-04-12 07:37:57

227

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Perimeter change when moving one point of a triangle along a circle

Published on 12 Apr 2026 - 7:37

score 106 · Answer 3 · 2026-04-09 17:13:27

106

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Interpretation of complex trilinear coordinates

Published on 09 Apr 2026 - 17:13

score 71 · Answer 4 · 2026-04-16 13:15:55

Prove that in a triangle $ABC$ $\forall P, P\neq M_{a},M_{b} ,M_{c}:min\{ \frac{|PA|}{|PM_{a}|},\frac{|PB|}{|PM_{b}|},\frac{|PC|}{|PM_{c}} \}\le 2.$

score 688 · Answer 5 · 2026-05-11 06:24:14

688

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Transform line equation with barycentric coordinates

Published on 11 May 2026 - 6:24

score 69 · Answer 6 · 2026-04-12 01:32:28

69

Views

triangle combination edge colored

Published on 12 Apr 2026 - 1:32

score 218 · Answer 7 · 2026-04-09 17:13:50

218

Views

Convergence of Mixtilinear Triangles to a Point

Published on 09 Apr 2026 - 17:13

score 212 · Answer 8 · 2026-04-13 05:37:47

212

Views

Show that the triangle $ADC$ is isosceles

Published on 13 Apr 2026 - 5:37

score 600 · Answer 9 · 2026-05-10 22:10:09

600

Views

In the diagram, $AB$ $||$ $EF$ $||$ $DC$ . Given that $AC + BD = 250$ , $BC = 100$ and $EC + ED = 150$, find $CF$.

Published on 10 May 2026 - 22:10

score 511 · Answer 10 · 2026-05-15 18:04:09

511

Views

Create an isosceles triangle from only equilateral triangles. Possible or impossible?

Published on 15 May 2026 - 18:04

score 49 · Answer 11 · 2026-05-14 16:55:33

49

Views

How would I geometrically prove this situation of a rectangle and a triangle? I.e., how is theta used twice?

Published on 14 May 2026 - 16:55

score 347 · Answer 12 · 2026-05-10 19:48:47

347

Views

Let $ABCD$ be a square. Points $A,B,G$ are collinear. $AC$ and $DG$ meet at $E$ , and $DG$ and $BC$ meet at $F$.

Published on 10 May 2026 - 19:48

score 662 · Answer 13 · 2026-04-15 14:00:07

662

Views

Let $P$ be a $30$-sided polygon inscribed in a circle. Find the value of $\frac{N}{100}$.

Published on 15 Apr 2026 - 14:00

score 239 · Answer 14 · 2026-04-12 17:47:15

239

Views

Find the angle $\angle MNP$ from the circle with centre C

Published on 12 Apr 2026 - 17:47

score 255 · Answer 15 · 2026-04-16 13:11:13

255

Views

In $\triangle PQR$ with $QR^2+PR^2=5PQ^2$, medians $PM$ and $QN$ meet at $G$. Find $\angle QGM$.

Published on 16 Apr 2026 - 13:11

List Question

Suppose an acute triangle $ABC. D,E\in |BC|, |AD|=|CD|, |AE|=|BE|. F: FD||AB, FE||AC. $ Show that $|FB|=|FC|$.

Perimeter change when moving one point of a triangle along a circle

Interpretation of complex trilinear coordinates

Prove that in a triangle $ABC$ $\forall P, P\neq M_{a},M_{b} ,M_{c}:min\{ \frac{|PA|}{|PM_{a}|},\frac{|PB|}{|PM_{b}|},\frac{|PC|}{|PM_{c}} \}\le 2.$

Transform line equation with barycentric coordinates

triangle combination edge colored

Convergence of Mixtilinear Triangles to a Point

Show that the triangle $ADC$ is isosceles

In the diagram, $AB$ $||$ $EF$ $||$ $DC$ . Given that $AC + BD = 250$ , $BC = 100$ and $EC + ED = 150$, find $CF$.

Create an isosceles triangle from only equilateral triangles. Possible or impossible?

How would I geometrically prove this situation of a rectangle and a triangle? I.e., how is theta used twice?

Let $ABCD$ be a square. Points $A,B,G$ are collinear. $AC$ and $DG$ meet at $E$ , and $DG$ and $BC$ meet at $F$.

Let $P$ be a $30$-sided polygon inscribed in a circle. Find the value of $\frac{N}{100}$.

Find the angle $\angle MNP$ from the circle with centre C

In $\triangle PQR$ with $QR^2+PR^2=5PQ^2$, medians $PM$ and $QN$ meet at $G$. Find $\angle QGM$.

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