Question

In $\Delta ABC, AC > AB.$ The internal angle bisector of $\angle A$ meets $BC$ at $D,$ and $E$ is the foot of the perpendicular from $B$ onto $AD$.

score 694 · Answer 1 · 2026-04-23 05:19:14

In $\Delta ABC, AC > AB.$ The internal angle bisector of $\angle A$ meets $BC$ at $D,$ and $E$ is the foot of the perpendicular from $B$ onto $AD$.

score 368 · Answer 2 · 2026-04-23 05:17:56

368

Views

Let $O$ be any point inside $\Delta ABC$. Extend $AO,BO,CO$ to meet $BC,CA,AB$ at $D,E,F$ respectively.

Published on 23 Apr 2026 - 5:17

score 416 · Answer 3 · 2026-04-16 12:09:27

416

Views

In $\Delta ABC, AB = 13, AC = 5, BC = 12.$ Points $M,N$ lie on $AC,BC$ respectively with $CM = CN = 4$.

Published on 16 Apr 2026 - 12:09

score 396 · Answer 4 · 2026-05-10 18:44:46

396

Views

In $\Delta ABC,$ side $AC$ and the perpendicular bisector of $BC$ meet at $D$, where $BD$ bisects $\angle ABC$.

Published on 10 May 2026 - 18:44

score 132 · Answer 5 · 2026-04-15 11:24:59

132

Views

In $\Delta ABC$ has area $120$ with $AB = 50, AC= 10.$ Let $D,E$ be the midpoints of $AB,AC$ respectively.

Published on 15 Apr 2026 - 11:24

score 105 · Answer 6 · 2026-04-13 23:15:00

105

Views

Internal Bisector of a triangle

Published on 13 Apr 2026 - 23:15

score 989 · Answer 7 · 2026-04-12 22:06:54

989

Views

How to prove AC = BD?

Published on 12 Apr 2026 - 22:06

score 51 · Answer 8 · 2026-04-16 00:33:28

51

Views

Find the area of shade region in a triangle with several small triangles inside

Published on 16 Apr 2026 - 0:33

score 260 · Answer 9 · 2026-04-12 19:54:25

$\Delta ABC$ is right angled triangle. $AP$ and $AQ$ meet $BC$ and $BC$ produced in $P$ and $Q$ and are equally inclined to $AB$.

score 99 · Answer 10 · 2026-04-16 15:31:33

99

Views

Show that $a=c\mathrm{e}^{\mathrm{i}\beta}+b\mathrm{e}^{-\mathrm{i}\gamma}$ in a triangle $ABC$ with side lengths $a$, $b$ and $c$

Published on 16 Apr 2026 - 15:31

score 117 · Answer 11 · 2026-04-12 05:30:51

117

Views

When doing finding missing sides in trigonometry do I have to divde or multiply?

Published on 12 Apr 2026 - 5:30

score 181 · Answer 12 · 2026-04-10 05:52:52

181

Views

Triangle Area Problem with intersecting lines

Published on 10 Apr 2026 - 5:52

score 428 · Answer 13 · 2026-04-15 19:49:31

428

Views

Find $\angle ADB$ where $\angle BAC = 18^\circ$, $\angle ABC = 12^\circ$ and $AB = CD$.

Published on 15 Apr 2026 - 19:49

score 405 · Answer 14 · 2026-04-23 09:42:16

405

Views

In $\Delta ABC$ $\angle BAC = 40^\circ, AB = 10$ and $AC = 6$. Points $D$ and $E$ lie on $AB$ and $AC$ respectively.

Published on 23 Apr 2026 - 9:42

score 8.2k · Answer 15 · 2026-04-15 12:25:34

8.2k

Views

Finding the sides of a right triangle given sine and one side length

Published on 15 Apr 2026 - 12:25

List Question

In $\Delta ABC, AC > AB.$ The internal angle bisector of $\angle A$ meets $BC$ at $D,$ and $E$ is the foot of the perpendicular from $B$ onto $AD$.

Let $O$ be any point inside $\Delta ABC$. Extend $AO,BO,CO$ to meet $BC,CA,AB$ at $D,E,F$ respectively.

In $\Delta ABC, AB = 13, AC = 5, BC = 12.$ Points $M,N$ lie on $AC,BC$ respectively with $CM = CN = 4$.

In $\Delta ABC,$ side $AC$ and the perpendicular bisector of $BC$ meet at $D$, where $BD$ bisects $\angle ABC$.

In $\Delta ABC$ has area $120$ with $AB = 50, AC= 10.$ Let $D,E$ be the midpoints of $AB,AC$ respectively.

Internal Bisector of a triangle

How to prove AC = BD?

Find the area of shade region in a triangle with several small triangles inside

$\Delta ABC$ is right angled triangle. $AP$ and $AQ$ meet $BC$ and $BC$ produced in $P$ and $Q$ and are equally inclined to $AB$.

Show that $a=c\mathrm{e}^{\mathrm{i}\beta}+b\mathrm{e}^{-\mathrm{i}\gamma}$ in a triangle $ABC$ with side lengths $a$, $b$ and $c$

When doing finding missing sides in trigonometry do I have to divde or multiply?

Triangle Area Problem with intersecting lines

Find $\angle ADB$ where $\angle BAC = 18^\circ$, $\angle ABC = 12^\circ$ and $AB = CD$.

In $\Delta ABC$ $\angle BAC = 40^\circ, AB = 10$ and $AC = 6$. Points $D$ and $E$ lie on $AB$ and $AC$ respectively.

Finding the sides of a right triangle given sine and one side length

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