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Hyperbolic Geometry: Defect of a triangle

score 494 · Answer 1 · 2026-04-12 22:13:14

494

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Hyperbolic Geometry: Defect of a triangle

Published on 12 Apr 2026 - 22:13

score 228 · Answer 2 · 2026-04-10 02:04:35

228

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Relationship Between Area in Triangles

Published on 10 Apr 2026 - 2:04

score 836 · Answer 3 · 2026-04-15 13:42:50

Prove $r^2+r_1^2+r_2^2+r_3^2=16R^2-a^2-b^2-c^2$ for a triangle with sides $a$, $b$, $c$, circumradius $R$, inradius $r$, exradii $r_1$, $r_2$, $r_3$

score 10.7k · Answer 4 · 2026-04-14 19:27:25

10.7k

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Proof of the identity $\sin(x+y) =\sin(x)\cos(y) + \cos(x)\sin(y)$ for all $x$ and $y$

Published on 14 Apr 2026 - 19:27

score 106 · Answer 5 · 2026-04-15 04:46:38

106

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Geometry : $(AD+DE)^2+BD^2=(AB+BE)^2$

Published on 15 Apr 2026 - 4:46

score 94 · Answer 6 · 2026-04-11 04:26:50

94

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An inequality with $\cos$ and triangle sides

Published on 11 Apr 2026 - 4:26

score 2.5k · Answer 7 · 2026-04-16 15:19:59

2.5k

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Given an equilateral triangle $ABC$ and $P$ is any point inside the triangle such that $PA^2 = PB^2 + PC^2$. Then what is angle $BPC$?

Published on 16 Apr 2026 - 15:19

score 150 · Answer 8 · 2026-04-16 00:25:43

150

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ABC is a triangle. D is the center of BC . AC is perpendicular to AD. prove that $\cos(A)\cdot \cos(C)=\frac{2(c^2-a^2)}{3ac}$

Published on 16 Apr 2026 - 0:25

score 1.8k · Answer 9 · 2026-04-29 20:54:56

1.8k

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Condition of existence of a triangle

Published on 29 Apr 2026 - 20:54

score 70 · Answer 10 · 2026-04-15 21:53:23

If a triangle $PQR$ is constructed such that All sides are integers ; and , $PQ= 37 , QR= M$ , and $M <37$ , then the possible values of $PR$ :

score 1.7k · Answer 11 · 2026-04-15 02:32:38

1.7k

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Properties of triangles that have 3 equal 120 degree angles around an internal point

Published on 15 Apr 2026 - 2:32

score 210 · Answer 12 · 2026-04-10 19:33:53

210

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How can pove a generalization of Brahmagupta theorem

Published on 10 Apr 2026 - 19:33

score 162 · Answer 13 · 2026-04-10 20:27:41

162

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Finding perimeter of a parallelogram

Published on 10 Apr 2026 - 20:27

score 1.2k · Answer 14 · 2026-04-15 08:38:26

1.2k

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Taylor series as an approximation for cos(θ)

Published on 15 Apr 2026 - 8:38

score 488 · Answer 15 · 2026-04-29 21:46:04

488

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Find the incentre of the triangle

Published on 29 Apr 2026 - 21:46

List Question

Hyperbolic Geometry: Defect of a triangle

Relationship Between Area in Triangles

Prove $r^2+r_1^2+r_2^2+r_3^2=16R^2-a^2-b^2-c^2$ for a triangle with sides $a$, $b$, $c$, circumradius $R$, inradius $r$, exradii $r_1$, $r_2$, $r_3$

Proof of the identity $\sin(x+y) =\sin(x)\cos(y) + \cos(x)\sin(y)$ for all $x$ and $y$

Geometry : $(AD+DE)^2+BD^2=(AB+BE)^2$

An inequality with $\cos$ and triangle sides

Given an equilateral triangle $ABC$ and $P$ is any point inside the triangle such that $PA^2 = PB^2 + PC^2$. Then what is angle $BPC$?

ABC is a triangle. D is the center of BC . AC is perpendicular to AD. prove that $\cos(A)\cdot \cos(C)=\frac{2(c^2-a^2)}{3ac}$

Condition of existence of a triangle

If a triangle $PQR$ is constructed such that All sides are integers ; and , $PQ= 37 , QR= M$ , and $M <37$ , then the possible values of $PR$ :

Properties of triangles that have 3 equal 120 degree angles around an internal point

How can pove a generalization of Brahmagupta theorem

Finding perimeter of a parallelogram

Taylor series as an approximation for cos(θ)

Find the incentre of the triangle

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