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 346 · Answer 1 · 2020-11-20 09:28:31

346

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 20 Nov 2020 - 9:28

score 598 · Answer 2 · 2020-12-04 13:23:12

598

Views

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

Published on 04 Dec 2020 - 13:23

score 345 · Answer 3 · 2020-12-05 10:37:42

345

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 05 Dec 2020 - 10:37

score 237 · Answer 4 · 2021-02-04 22:14:07

237

Views

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515

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88

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246

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score 437 · Answer 8 · 2021-04-01 06:28:40

437

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score 247 · Answer 9 · 2021-04-23 13:17:30

247

Views

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

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score 25 · Answer 10 · 2021-04-29 00:17:34

25

Views

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score 870 · Answer 11 · 2021-07-15 11:10:43

870

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152

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score 246 · Answer 13 · 2021-11-27 06:50:04

246

Views

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

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score 239 · Answer 14 · 2022-01-06 04:59:20

239

Views

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score 31 · Answer 15 · 2022-03-18 18:38:37

31

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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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