Question

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

score 347 · Answer 1 · 2026-03-25 19:07:18

347

Views

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

Published on 25 Mar 2026 - 19:07

score 599 · Answer 2 · 2026-03-25 19:10:33

599

Views

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

Published on 25 Mar 2026 - 19:10

score 346 · Answer 3 · 2026-03-25 22:05:06

346

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 25 Mar 2026 - 22:05

score 238 · Answer 4 · 2026-03-25 19:04:53

238

Views

Finding side lengths of a trapezoid given the distance between its diagonal intersection and midpoint of a diagonal

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score 516 · Answer 5 · 2026-03-25 19:01:55

516

Views

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Published on 25 Mar 2026 - 19:01

score 89 · Answer 6 · 2026-03-25 20:39:44

89

Views

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score 247 · Answer 7 · 2026-03-25 22:11:06

247

Views

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score 438 · Answer 8 · 2026-03-25 19:02:02

438

Views

Triangle and Median related question

Published on 25 Mar 2026 - 19:02

score 248 · Answer 9 · 2026-03-25 19:06:34

248

Views

Prove ABC,A'B'C' are congruent:D is on BC,D' is on B'C', $\angle BAD \angle CAD= \angle B'A'D' \angle C'A'D', AB=A'B', AC=A'C', AD=A'D'$

Published on 25 Mar 2026 - 19:06

score 26 · Answer 10 · 2026-03-25 22:03:38

26

Views

Does there exist an efficient way to determine if two $n$-simplices in $\mathbb{R}^n$ are congruent?

Published on 25 Mar 2026 - 22:03

score 871 · Answer 11 · 2026-03-25 19:02:30

871

Views

Is triangle congruence considered as theorems or postulates?

Published on 25 Mar 2026 - 19:02

score 153 · Answer 12 · 2026-03-25 19:02:25

153

Views

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Published on 25 Mar 2026 - 19:02

score 247 · Answer 13 · 2026-03-25 22:05:10

247

Views

$PQ ∥ BC$ for isosceles $\triangle ABC$ and inscribed equilateral $\triangle PQR$ with $R$ being midpoint of $BC$

Published on 25 Mar 2026 - 22:05

score 240 · Answer 14 · 2026-03-25 19:00:55

240

Views

Sources for IMO Geometry Theorems

Published on 25 Mar 2026 - 19:00

score 32 · Answer 15 · 2026-03-25 20:33:49

32

Views

Congruent triangles that do not use reflections

Published on 25 Mar 2026 - 20:33

List Question

$\Delta ABC$, $AC = 2BC$ and $\angle C = 90^\circ$ and $D$ is the foot of the altitude from $C$ onto $AB$. Find $AE : EC$ .

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

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

Finding side lengths of a trapezoid given the distance between its diagonal intersection and midpoint of a diagonal

Similarity by SSA (side-side-angle) in obtuse triangles

Geometry find the angle

Find the measure of $\angle G$ in a triangle

Triangle and Median related question

Prove ABC,A'B'C' are congruent:D is on BC,D' is on B'C', $\angle BAD \angle CAD= \angle B'A'D' \angle C'A'D', AB=A'B', AC=A'C', AD=A'D'$

Does there exist an efficient way to determine if two $n$-simplices in $\mathbb{R}^n$ are congruent?

Is triangle congruence considered as theorems or postulates?

How to proof the mid-point theorem without triangle congruence theorems?

$PQ ∥ BC$ for isosceles $\triangle ABC$ and inscribed equilateral $\triangle PQR$ with $R$ being midpoint of $BC$

Sources for IMO Geometry Theorems

Congruent triangles that do not use reflections

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