Question

Compare the heights of two midpoints in a hyperbolic triangle

score 180 · Answer 1 · 2026-03-25 04:39:41

180

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Compare the heights of two midpoints in a hyperbolic triangle

Published on 25 Mar 2026 - 4:39

score 813 · Answer 2 · 2026-03-25 14:46:54

813

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Midpoints of diagonals of a quadrilateral and midpoint of line joining extensions of sides of the quadrilateral are collinear

Published on 25 Mar 2026 - 14:46

score 1.3k · Answer 3 · 2018-04-06 00:35:15

1.3k

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If $8R^2=a^2+b^2+c^2$ then prove that the triangle is right angled.

Published on 06 Apr 2018 - 0:35

score 144 · Answer 4 · 2018-04-07 08:56:18

In any triangle, if $\frac {\cos A+2\cos C}{\cos A+2\cos B}=\frac {\sin B}{\sin C}$, then the triangle is either isosceles or right-angled

score 61 · Answer 5 · 2018-04-07 12:27:21

61

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In any triangle, prove that:

Published on 07 Apr 2018 - 12:27

score 41 · Answer 6 · 2018-04-07 14:32:08

41

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Use only translation - A covering problem in grometry from “100 covering problems”

Published on 07 Apr 2018 - 14:32

score 76 · Answer 7 · 2018-04-07 18:18:35

76

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Proportional segments between parallelogram and triangle

Published on 07 Apr 2018 - 18:18

score 709 · Answer 8 · 2018-04-07 19:59:50

The sum of the lengths of the legs of a right-angled triangle is $12$, and the hypotenuse is $\sqrt{74}$. Find the total area of the triangle.

score 1.3k · Answer 9 · 2018-04-08 07:18:01

1.3k

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In any $\triangle ABC$, prove that: $\frac {\cos B-\cos C}{\cos A +1}=\frac {c-b}{a}$

Published on 08 Apr 2018 - 7:18

score 88 · Answer 10 · 2018-04-09 07:18:16

88

Views

How to use triangle similarity to show that $a^2=y \cdot c$?

Published on 09 Apr 2018 - 7:18

score 451 · Answer 11 · 2026-03-25 04:43:03

451

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brilliant.org angle hunting, I can't figure out where the angle 120 is coming from

Published on 25 Mar 2026 - 4:43

score 404 · Answer 12 · 2026-03-25 06:21:19

404

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Area of a triangle whose vertices are the only lattice points in it

Published on 25 Mar 2026 - 6:21

score 172 · Answer 13 · 2018-04-11 13:36:11

172

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Proving similarity for a triangle inside another triangle given ratio between sides.

Published on 11 Apr 2018 - 13:36

score 186 · Answer 14 · 2018-04-12 12:37:16

186

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Converse of theorem of two tangent circles

Published on 12 Apr 2018 - 12:37

score 160 · Answer 15 · 2018-04-12 14:48:22

160

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Doubt in an extended triangle question.

Published on 12 Apr 2018 - 14:48

List Question

Compare the heights of two midpoints in a hyperbolic triangle

Midpoints of diagonals of a quadrilateral and midpoint of line joining extensions of sides of the quadrilateral are collinear

If $8R^2=a^2+b^2+c^2$ then prove that the triangle is right angled.

In any triangle, if $\frac {\cos A+2\cos C}{\cos A+2\cos B}=\frac {\sin B}{\sin C}$, then the triangle is either isosceles or right-angled

In any triangle, prove that:

Use only translation - A covering problem in grometry from “100 covering problems”

Proportional segments between parallelogram and triangle

The sum of the lengths of the legs of a right-angled triangle is $12$, and the hypotenuse is $\sqrt{74}$. Find the total area of the triangle.

In any $\triangle ABC$, prove that: $\frac {\cos B-\cos C}{\cos A +1}=\frac {c-b}{a}$

How to use triangle similarity to show that $a^2=y \cdot c$?

brilliant.org angle hunting, I can't figure out where the angle 120 is coming from

Area of a triangle whose vertices are the only lattice points in it

Proving similarity for a triangle inside another triangle given ratio between sides.

Converse of theorem of two tangent circles

Doubt in an extended triangle question.

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