Question

A $\triangle ADE$ has $\angle AED = 120^\circ$, and $B$ and $C$ are points on $AD$ such that $\Delta BCE$ is equilateral.

score 334 · Answer 1 · 2026-04-23 09:40:45

334

Views

A $\triangle ADE$ has $\angle AED = 120^\circ$, and $B$ and $C$ are points on $AD$ such that $\Delta BCE$ is equilateral.

Published on 23 Apr 2026 - 9:40

score 196 · Answer 2 · 2026-04-23 09:40:43

196

Views

In $\triangle ABC$ where $AB = AC$, $D$ and $E$ are points on $AB$ and $AC$ respectively, such that $AB = 4BD$ and $AC = 4AE$.

Published on 23 Apr 2026 - 9:40

score 74 · Answer 3 · 2026-04-14 06:33:02

74

Views

Triangle related problem

Published on 14 Apr 2026 - 6:33

score 71 · Answer 4 · 2026-04-11 04:17:27

71

Views

A geometry problem related to circumcenter.

Published on 11 Apr 2026 - 4:17

score 348 · Answer 5 · 2026-05-10 19:48:40

348

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 10 May 2026 - 19:48

score 92 · Answer 6 · 2026-04-23 14:39:52

92

Views

In $\Delta ABC$ , bisectors of $\angle A, \angle B$ meet at incentre $I$. The extension of $AI$ meets the circumcircle of $\Delta ABC$ at $D$.

Published on 23 Apr 2026 - 14:39

score 178 · Answer 7 · 2026-04-15 04:01:34

178

Views

Find area of triangle ABC with $∠CAB = α $ and $∠ABC = β$

Published on 15 Apr 2026 - 4:01

score 393 · Answer 8 · 2026-04-16 13:12:42

393

Views

Three sides $OAB, OAC$ and $OBC$ of a tetrahedron $OABC$ are right-angled triangles, $\angle AOB = \angle AOC = \angle BOC = 90^\circ$.

Published on 16 Apr 2026 - 13:12

score 67 · Answer 9 · 2026-04-23 14:36:39

67

Views

Points $E$ and $F$ are on sides $AB$ and $AC$ such that $DE$ and $DF$ are the angle bisectors of $\angle ADB$ and $\angle ADC$ respectively.

Published on 23 Apr 2026 - 14:36

score 51 · Answer 10 · 2026-04-14 08:09:53

51

Views

Proving $\triangle DFG$ is equilateral

Published on 14 Apr 2026 - 8:09

score 60 · Answer 11 · 2026-04-14 00:40:38

60

Views

Formula for the angle bisector length with area and two angles

Published on 14 Apr 2026 - 0:40

score 140 · Answer 12 · 2026-04-16 09:56:06

140

Views

Find area of right triangle △ with circumcircle $O$ and tangent circle $K$.

Published on 16 Apr 2026 - 9:56

score 90 · Answer 13 · 2026-04-17 05:43:56

90

Views

Given that $BE$ is an angle bisector of $\angle ABC$ and $AD = 13.5$ cm, find $CD$ .

Published on 17 Apr 2026 - 5:43

score 489 · Answer 14 · 2026-04-23 14:38:40

489

Views

Vertex $E$ of equilateral $\Delta ABE$ is in interior of $\square ABCD.$ $F$ is the midpoint of intersection of $AE$ and diagonal $BD$.

Published on 23 Apr 2026 - 14:38

score 204 · Answer 15 · 2026-04-16 00:19:20

204

Views

If $2$ altitudes of a triangle are $9$ and $40$ then find the minimum perimeter

Published on 16 Apr 2026 - 0:19

List Question

A $\triangle ADE$ has $\angle AED = 120^\circ$, and $B$ and $C$ are points on $AD$ such that $\Delta BCE$ is equilateral.

In $\triangle ABC$ where $AB = AC$, $D$ and $E$ are points on $AB$ and $AC$ respectively, such that $AB = 4BD$ and $AC = 4AE$.

Triangle related problem

A geometry problem related to circumcenter.

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

In $\Delta ABC$ , bisectors of $\angle A, \angle B$ meet at incentre $I$. The extension of $AI$ meets the circumcircle of $\Delta ABC$ at $D$.

Find area of triangle ABC with $∠CAB = α $ and $∠ABC = β$

Three sides $OAB, OAC$ and $OBC$ of a tetrahedron $OABC$ are right-angled triangles, $\angle AOB = \angle AOC = \angle BOC = 90^\circ$.

Points $E$ and $F$ are on sides $AB$ and $AC$ such that $DE$ and $DF$ are the angle bisectors of $\angle ADB$ and $\angle ADC$ respectively.

Proving $\triangle DFG$ is equilateral

Formula for the angle bisector length with area and two angles

Find area of right triangle △ with circumcircle $O$ and tangent circle $K$.

Given that $BE$ is an angle bisector of $\angle ABC$ and $AD = 13.5$ cm, find $CD$ .

Vertex $E$ of equilateral $\Delta ABE$ is in interior of $\square ABCD.$ $F$ is the midpoint of intersection of $AE$ and diagonal $BD$.

If $2$ altitudes of a triangle are $9$ and $40$ then find the minimum perimeter

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