Question

Prove that perimeter of triangle $MNC$ is equal to half perimeter of triangle $ABC$

score 205 · Answer 1 · 2026-04-14 13:41:03

205

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Prove that perimeter of triangle $MNC$ is equal to half perimeter of triangle $ABC$

Published on 14 Apr 2026 - 13:41

score 73 · Answer 2 · 2026-04-15 21:59:41

73

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Find area of equilateral $\Delta ABC $

Published on 15 Apr 2026 - 21:59

score 1k · Answer 3 · 2026-04-15 09:38:41

1k

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Prove two angles add up to 90 degrees

Published on 15 Apr 2026 - 9:38

score 104 · Answer 4 · 2026-04-16 14:00:18

$ABC$ exists so $\overline{AX}$, $\overline{BC}$, and $\overline{CZ}$ are concurrent. $\overline{AB} = 6$, $\overline{AC} = 3$, $\overline {BX}$ is?

score 43 · Answer 5 · 2026-04-11 17:46:23

43

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Question regarding certainty of certain assumptions in this triangle problem

Published on 11 Apr 2026 - 17:46

score 258 · Answer 6 · 2026-04-16 04:35:48

258

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The circle O is an inscribed circle of △ABC. AB = AC = 13, and BC = 10. Find sin ∠ AOR

Published on 16 Apr 2026 - 4:35

score 120 · Answer 7 · 2026-04-11 22:24:20

120

Views

Equation to find a point perpendicular with from an angle

Published on 11 Apr 2026 - 22:24

score 53 · Answer 8 · 2026-04-15 07:24:18

53

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If $ \bigtriangleup ABC$: $\angle CAB = \frac{\pi}{2}$, with height $AD$ and median $AK$. Prove $\angle BAD = \angle BCA = \angle KAC.$

Published on 15 Apr 2026 - 7:24

score 102 · Answer 9 · 2026-04-16 15:20:42

102

Views

Let $BA= BC$ and $BD = AC$. Find angle $BDC$. (See image)

Published on 16 Apr 2026 - 15:20

score 101 · Answer 10 · 2026-04-14 01:03:24

101

Views

Non-trigonometric proof: $|AD|^2=|AB|\cdot |AC|-|DB|\cdot |DC|$.

Published on 14 Apr 2026 - 1:03

score 151 · Answer 11 · 2026-04-16 14:46:28

151

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$G$ is a point inside triangle $ABC$ such that $[GBC]=[GCA]=[GAB]$, where $[XYZ]$ is the area of $XYZ$. Show that $G$ is the centroid of $ABC$.

Published on 16 Apr 2026 - 14:46

score 397 · Answer 12 · 2026-04-17 10:36:19

397

Views

Suppose $\angle BAC = 60^\circ$ and $\angle ABC = 20^\circ$. A point $E$ inside $ABC$ satisfies $\angle EAB=20^\circ$ and $\angle ECB=30^\circ$.

Published on 17 Apr 2026 - 10:36

score 114 · Answer 13 · 2026-04-14 20:24:55

114

Views

Is this the Tucker-Gergonne-Nagel cubic ? or some other one

Published on 14 Apr 2026 - 20:24

score 82 · Answer 14 · 2026-04-14 04:40:30

82

Views

Calculate the center of mass of a solid 3d polyhedron made of discrete triangles

Published on 14 Apr 2026 - 4:40

score 264 · Answer 15 · 2026-04-16 15:48:22

264

Views

$(a+1)(b+1)(c+1)\leq4$ for triangle sides $a,b,c$ with $ab+bc+ac=1$

Published on 16 Apr 2026 - 15:48

List Question

Prove that perimeter of triangle $MNC$ is equal to half perimeter of triangle $ABC$

Find area of equilateral $\Delta ABC $

Prove two angles add up to 90 degrees

$ABC$ exists so $\overline{AX}$, $\overline{BC}$, and $\overline{CZ}$ are concurrent. $\overline{AB} = 6$, $\overline{AC} = 3$, $\overline {BX}$ is?

Question regarding certainty of certain assumptions in this triangle problem

The circle O is an inscribed circle of △ABC. AB = AC = 13, and BC = 10. Find sin ∠ AOR

Equation to find a point perpendicular with from an angle

If $ \bigtriangleup ABC$: $\angle CAB = \frac{\pi}{2}$, with height $AD$ and median $AK$. Prove $\angle BAD = \angle BCA = \angle KAC.$

Let $BA= BC$ and $BD = AC$. Find angle $BDC$. (See image)

Non-trigonometric proof: $|AD|^2=|AB|\cdot |AC|-|DB|\cdot |DC|$.

$G$ is a point inside triangle $ABC$ such that $[GBC]=[GCA]=[GAB]$, where $[XYZ]$ is the area of $XYZ$. Show that $G$ is the centroid of $ABC$.

Suppose $\angle BAC = 60^\circ$ and $\angle ABC = 20^\circ$. A point $E$ inside $ABC$ satisfies $\angle EAB=20^\circ$ and $\angle ECB=30^\circ$.

Is this the Tucker-Gergonne-Nagel cubic ? or some other one

Calculate the center of mass of a solid 3d polyhedron made of discrete triangles

$(a+1)(b+1)(c+1)\leq4$ for triangle sides $a,b,c$ with $ab+bc+ac=1$

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