Question

How to find a line that divides two triangles in half (area) at the same time?

score 435 · Answer 1 · 2026-04-14 21:14:40

435

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How to find a line that divides two triangles in half (area) at the same time?

Published on 14 Apr 2026 - 21:14

score 135 · Answer 2 · 2026-04-16 00:46:19

135

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We have triangle $\triangle ABC$, with $AD\perp BC$, $\angle ABH=20^o$, $\angle HBC=40^o$ and $\angle HCB=30^o$. Find the value of angle $\angle HAC$

Published on 16 Apr 2026 - 0:46

score 203 · Answer 3 · 2026-04-14 07:11:17

Given $\triangle ABC$ with $AB=BC$ and $\angle ABC=80^\circ$, and $O$ such that $\angle OAC=30^\circ$ and $\angle OCA=10^\circ$, find $\angle BOC$.

score 86 · Answer 4 · 2026-04-12 08:35:29

86

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Elementary proof of the SAS, ASA, SSS theorem, where to find them?

Published on 12 Apr 2026 - 8:35

score 132 · Answer 5 · 2026-04-12 16:47:19

132

Views

In triangle $\triangle ABC$, we have $AB=8cm$, $AC=12cm$ and $BC=15cm$, $I$ the incenter. If $ID//AB$ and $IE//AC$ which is the perimeter of $IDE$?

Published on 12 Apr 2026 - 16:47

score 97 · Answer 6 · 2026-04-16 05:27:36

97

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$AB = AC$, $BC = 2$ and $∠BAC = 90$°. Then find the value of $\dfrac{\text{$a$}}{\text{$b$}}$.

Published on 16 Apr 2026 - 5:27

score 1.3k · Answer 7 · 2026-04-17 12:08:33

1.3k

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Number of obtuse (or acute) triangles with sides $8$, $15$, and integer $x$

Published on 17 Apr 2026 - 12:08

score 174 · Answer 8 · 2026-05-11 04:58:30

174

Views

Can someone answer my question about geometry triangles

Published on 11 May 2026 - 4:58

score 418 · Answer 9 · 2026-04-10 20:02:42

418

Views

Ratio of perimeter of two triangles with common side

Published on 10 Apr 2026 - 20:02

score 72 · Answer 10 · 2026-04-15 00:05:15

72

Views

Proving that given a triangle $ABC$, $P$ is the intersection of $p,q$, $P$ is the midpoint of $EF$

Published on 15 Apr 2026 - 0:05

score 223 · Answer 11 · 2026-04-14 14:43:38

223

Views

Is the "triangle inequality for reciprocals" a sufficient condition for altitudes of a triangle?

Published on 14 Apr 2026 - 14:43

score 47 · Answer 12 · 2026-04-11 00:48:33

47

Views

Triangle formed by positive integral powers of sides of scalene triangle

Published on 11 Apr 2026 - 0:48

score 114 · Answer 13 · 2026-04-13 17:06:47

114

Views

Sum of average distance to sides of right triangle

Published on 13 Apr 2026 - 17:06

score 139 · Answer 14 · 2026-04-14 07:31:25

139

Views

Does a bisector create two new similar triangles?

Published on 14 Apr 2026 - 7:31

score 68 · Answer 15 · 2026-04-15 04:39:18

68

Views

(Synthetic-)Geometrical theorems on the quadrature of a rectangle

Published on 15 Apr 2026 - 4:39

List Question

How to find a line that divides two triangles in half (area) at the same time?

We have triangle $\triangle ABC$, with $AD\perp BC$, $\angle ABH=20^o$, $\angle HBC=40^o$ and $\angle HCB=30^o$. Find the value of angle $\angle HAC$

Given $\triangle ABC$ with $AB=BC$ and $\angle ABC=80^\circ$, and $O$ such that $\angle OAC=30^\circ$ and $\angle OCA=10^\circ$, find $\angle BOC$.

Elementary proof of the SAS, ASA, SSS theorem, where to find them?

In triangle $\triangle ABC$, we have $AB=8cm$, $AC=12cm$ and $BC=15cm$, $I$ the incenter. If $ID//AB$ and $IE//AC$ which is the perimeter of $IDE$?

$AB = AC$, $BC = 2$ and $∠BAC = 90$°. Then find the value of $\dfrac{\text{$a$}}{\text{$b$}}$.

Number of obtuse (or acute) triangles with sides $8$, $15$, and integer $x$

Can someone answer my question about geometry triangles

Ratio of perimeter of two triangles with common side

Proving that given a triangle $ABC$, $P$ is the intersection of $p,q$, $P$ is the midpoint of $EF$

Is the "triangle inequality for reciprocals" a sufficient condition for altitudes of a triangle?

Triangle formed by positive integral powers of sides of scalene triangle

Sum of average distance to sides of right triangle

Does a bisector create two new similar triangles?

(Synthetic-)Geometrical theorems on the quadrature of a rectangle

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