Question

$△ABC$ is isosceles if bisector of $∠A$ bisects $BC$?

score 162 · Answer 1 · 2026-04-17 02:29:51

162

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$△ABC$ is isosceles if bisector of $∠A$ bisects $BC$?

Published on 17 Apr 2026 - 2:29

score 121 · Answer 2 · 2026-04-14 15:59:41

121

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How to find the interior angle of two triangles intersected in a certain point?

Published on 14 Apr 2026 - 15:59

score 891 · Answer 3 · 2026-04-22 15:08:41

Given a point $P$ outside equilateral $\Delta ABC$ but inside $\angle ABC$, if the distance between $P$ to $BC,CA,AB$ are $h_1,h_2,h_3$ respectively.

score 1k · Answer 4 · 2026-04-22 15:06:50

1k

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Given that $G$ is the centroid of $\Delta ABC$, $GA = 2\sqrt{3}$ , $GB = 2\sqrt{2}$, $GC = 2$ . Find $[\Delta ABC]$.

Published on 22 Apr 2026 - 15:06

score 72 · Answer 5 · 2026-04-13 17:14:44

72

Views

In which condition，the triangle have the maximum triangle area？

Published on 13 Apr 2026 - 17:14

score 279 · Answer 6 · 2026-04-14 17:09:40

279

Views

If the Symmedian/Lemoine point of triangle $ABC$ lies on the Altitude from vertex $C$, show that either $BC = AC$ or angle $C = 90 ^\circ$.

Published on 14 Apr 2026 - 17:09

score 425 · Answer 7 · 2026-04-15 09:39:57

425

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Proving collinear points - geometry

Published on 15 Apr 2026 - 9:39

score 104 · Answer 8 · 2026-04-15 06:25:17

104

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Find the equation of line $AP$ in triangle $ABC$ where $P$ will make $PA=PB=PC$

Published on 15 Apr 2026 - 6:25

score 121 · Answer 9 · 2026-04-16 02:49:52

121

Views

Prove this geometric inequality

Published on 16 Apr 2026 - 2:49

score 73 · Answer 10 · 2026-04-13 23:41:05

73

Views

Why are these angles the same?

Published on 13 Apr 2026 - 23:41

score 646 · Answer 11 · 2026-04-13 17:29:09

646

Views

Finding errors in the triangle area

Published on 13 Apr 2026 - 17:29

score 36 · Answer 12 · 2026-04-14 04:20:45

36

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Solving for a coordinate along an axis given a triangle (3 coordinates)

Published on 14 Apr 2026 - 4:20

score 86 · Answer 13 · 2026-05-10 18:44:38

86

Views

How to prove that a triangle is uniquely determined by an angle, its opposite side and its perpendicular height.

Published on 10 May 2026 - 18:44

score 780 · Answer 14 · 2026-05-10 18:45:48

780

Views

In $\Delta ABC$, $AB:AC = 4:3$ and $M$ is the midpoint of $BC$ . $E$ is a point on $AB$ and $F$ is a point on $AC$ such that $AE:AF = 2:1$

Published on 10 May 2026 - 18:45

score 64 · Answer 15 · 2026-04-17 14:58:57

64

Views

Turning an observation about triangles into a formal proof

Published on 17 Apr 2026 - 14:58

List Question

$△ABC$ is isosceles if bisector of $∠A$ bisects $BC$?

How to find the interior angle of two triangles intersected in a certain point?

Given a point $P$ outside equilateral $\Delta ABC$ but inside $\angle ABC$, if the distance between $P$ to $BC,CA,AB$ are $h_1,h_2,h_3$ respectively.

Given that $G$ is the centroid of $\Delta ABC$, $GA = 2\sqrt{3}$ , $GB = 2\sqrt{2}$, $GC = 2$ . Find $[\Delta ABC]$.

In which condition，the triangle have the maximum triangle area？

If the Symmedian/Lemoine point of triangle $ABC$ lies on the Altitude from vertex $C$, show that either $BC = AC$ or angle $C = 90 ^\circ$.

Proving collinear points - geometry

Find the equation of line $AP$ in triangle $ABC$ where $P$ will make $PA=PB=PC$

Prove this geometric inequality

Why are these angles the same?

Finding errors in the triangle area

Solving for a coordinate along an axis given a triangle (3 coordinates)

How to prove that a triangle is uniquely determined by an angle, its opposite side and its perpendicular height.

In $\Delta ABC$, $AB:AC = 4:3$ and $M$ is the midpoint of $BC$ . $E$ is a point on $AB$ and $F$ is a point on $AC$ such that $AE:AF = 2:1$

Turning an observation about triangles into a formal proof

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