Question

How to prove this inequality $x\sin^2{A}+y\sin^2{B}\ge xy\sin^2{C}$

score 74 · Answer 1 · 2026-03-26 14:22:40

74

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How to prove this inequality $x\sin^2{A}+y\sin^2{B}\ge xy\sin^2{C}$

Published on 26 Mar 2026 - 14:22

score 46 · Answer 2 · 2026-04-15 20:37:04

46

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Geometry (ratio of subdivided length in a triangle)

Published on 15 Apr 2026 - 20:37

score 59 · Answer 3 · 2026-04-17 02:16:01

59

Views

How to solve this $80^\circ$-$80^\circ$-$20^\circ$ triangle ($60^\circ+20^\circ$ and $70^\circ+10^\circ$ variant)?

Published on 17 Apr 2026 - 2:16

score 207 · Answer 4 · 2026-04-14 10:44:02

207

Views

Problem on circles, tangents and triangles

Published on 14 Apr 2026 - 10:44

score 602 · Answer 5 · 2026-04-17 11:05:07

602

Views

Find equal side lengths for isosceles triangle from middle angle and area?

Published on 17 Apr 2026 - 11:05

score 1.3k · Answer 6 · 2026-04-14 19:09:08

1.3k

Views

Area of all triangles involved in a big triangle.

Published on 14 Apr 2026 - 19:09

score 7.6k · Answer 7 · 2026-04-15 07:45:31

7.6k

Views

Finding the third side of a triangle given the area

Published on 15 Apr 2026 - 7:45

score 227 · Answer 8 · 2026-03-31 16:58:47

227

Views

Geometric proof for properties of Farey sequence

Published on 31 Mar 2026 - 16:58

score 299 · Answer 9 · 2026-04-16 05:30:02

Prove: $\frac{r_a}{bc} + \frac{r_b}{ca} + \frac{r_c}{ab} = \frac{1}{r} - \frac{1}{2R}$, for circumradius R, inradius $r$, and exradii $r_x$

score 1.4k · Answer 10 · 2026-04-15 04:32:48

1.4k

Views

Find third coordinate for a right triangle with 45degree angles

Published on 15 Apr 2026 - 4:32

score 1.7k · Answer 11 · 2026-04-16 15:14:34

1.7k

Views

Proving Gerretsen's Inequality

Published on 16 Apr 2026 - 15:14

score 95 · Answer 12 · 2026-04-15 23:22:20

95

Views

Prove: In a Triangle, $II_1 = a\cdot \sec \frac{A}{2}$

Published on 15 Apr 2026 - 23:22

score 155 · Answer 13 · 2026-04-13 22:20:06

155

Views

Triangle - Trapezoid [Geometry]

Published on 13 Apr 2026 - 22:20

score 61 · Answer 14 · 2026-04-13 14:51:29

61

Views

Can you solve this geometric question on triangles?

Published on 13 Apr 2026 - 14:51

score 64 · Answer 15 · 2026-04-14 13:05:19

64

Views

Counting number of points making angle $< 90^\circ$

Published on 14 Apr 2026 - 13:05

List Question

How to prove this inequality $x\sin^2{A}+y\sin^2{B}\ge xy\sin^2{C}$

Geometry (ratio of subdivided length in a triangle)

How to solve this $80^\circ$-$80^\circ$-$20^\circ$ triangle ($60^\circ+20^\circ$ and $70^\circ+10^\circ$ variant)?

Problem on circles, tangents and triangles

Find equal side lengths for isosceles triangle from middle angle and area?

Area of all triangles involved in a big triangle.

Finding the third side of a triangle given the area

Geometric proof for properties of Farey sequence

Prove: $\frac{r_a}{bc} + \frac{r_b}{ca} + \frac{r_c}{ab} = \frac{1}{r} - \frac{1}{2R}$, for circumradius R, inradius $r$, and exradii $r_x$

Find third coordinate for a right triangle with 45degree angles

Proving Gerretsen's Inequality

Prove: In a Triangle, $II_1 = a\cdot \sec \frac{A}{2}$

Triangle - Trapezoid [Geometry]

Can you solve this geometric question on triangles?

Counting number of points making angle $< 90^\circ$

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