List questions from geometric-inequalities

Published on 10 May 2026 - 13:46

471

Views

Find a point $X$, in the plane of regular pentagon $ABCDE$, that minimizes $\frac{XA+XB}{XC+XD+XE}$.

Published on 16 Apr 2026 - 9:53

446

Views

Patterns in inequalities of triangle involving angles.

Published on 12 Apr 2026 - 5:08

61

Views

Equality in triangle obtuse

Published on 10 Apr 2026 - 21:35

80

Views

Prove $ \sum_{cyc}\frac{x}{\sqrt{x^2+8yz}} \ge 1, \forall x,y,z\gt 0 $

Published on 16 Apr 2026 - 10:48

59

Views

I cannot reproduce a geometric result algebraically

Published on 14 Apr 2026 - 22:23

123

Views

Proving the inequality $\angle A+\angle COP < 90^\circ$ in $\triangle ABC$

Published on 11 Apr 2026 - 9:18

85

Views

Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Published on 14 Apr 2026 - 9:27

1k

Views

Given three a-triangle-sidelengths $a,b,c$. Prove that $3\left((a^{2}b(a-b)+b^{2}c(b-c)+c^{2}a(c-a)\right)\geqq b(a+b-c)(a-c)(c-b)$ .

Published on 10 May 2026 - 17:18

190

Views

A triangle has sides x, x+4, and 3x−5. What is the possible range of x?

Published on 14 Apr 2026 - 22:18

271

Views

For $P$ an arbitrary point in $\triangle ABC$, show that $\sum_{cyc}c(\sin \angle CAP+\sin\angle CBP)\leq a+b+c$

Published on 16 Apr 2026 - 4:48

102

Views

Norm inequality problem on a finite dimensional vector space.

Published on 13 Apr 2026 - 0:05

122

Views

Show this inequality $\frac{n}{a_1 - a_0} + \frac{n - 1}{a_2 - a_1} + \cdots + \frac{1}{a_n - a_{n-1}} \ge \sum_{k=1}^n \frac{k^2}{a_k}$

Published on 17 Apr 2026 - 13:56

67

Views

Help in solving this geometric inequality

Published on 14 Apr 2026 - 9:50

74

Views

Geometric inequality

Published on 12 Apr 2026 - 10:57

List Question

Inequality triangle Radon substitutions

Find a point $X$, in the plane of regular pentagon $ABCDE$, that minimizes $\frac{XA+XB}{XC+XD+XE}$.

Patterns in inequalities of triangle involving angles.

Equality in triangle obtuse

Prove $ \sum_{cyc}\frac{x}{\sqrt{x^2+8yz}} \ge 1, \forall x,y,z\gt 0 $

I cannot reproduce a geometric result algebraically

Proving the inequality $\angle A+\angle COP < 90^\circ$ in $\triangle ABC$

Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Given three a-triangle-sidelengths $a,b,c$. Prove that $3\left((a^{2}b(a-b)+b^{2}c(b-c)+c^{2}a(c-a)\right)\geqq b(a+b-c)(a-c)(c-b)$ .

A triangle has sides x, x+4, and 3x−5. What is the possible range of x?

For $P$ an arbitrary point in $\triangle ABC$, show that $\sum_{cyc}c(\sin \angle CAP+\sin\angle CBP)\leq a+b+c$

Norm inequality problem on a finite dimensional vector space.

Show this inequality $\frac{n}{a_1 - a_0} + \frac{n - 1}{a_2 - a_1} + \cdots + \frac{1}{a_n - a_{n-1}} \ge \sum_{k=1}^n \frac{k^2}{a_k}$

Help in solving this geometric inequality

Geometric inequality

Trending Questions

Popular # Hahtags

Popular Questions