$x$, $y$ and $z$ are sides of a triangle - prove that $(x+y-z)(x-y+z)(-x+y+z)\leq xyz$
50296
Prove $(-a+b+c)(a-b+c)(a+b-c) \leq abc$, where $a, b$ and $c$ are positive real numbers
70311
Trying to prove (A ∩ B) − C = (A − C) ∩ (B − C)
48038
If $z$ and $w$ are complex numbers such that $|(z+w)| = |(z-w)|$, prove that $\arg(z)-\arg(w) = \pm (\pi/2)$
66707
How to prove this inequality? $ | z-1 | \le | | z | -1 | + | z| \cdot | \arg z | $
128205
If $A,B,C$ are the angle of a triangle, then show that $\sin A+\sin B-\cos C\le \dfrac3 2$
91662
Proof for triangle inequality for vectors
32963
proving the inequality $\triangle\leq \frac{1}{4}\sqrt{(a+b+c)\cdot abc}$
37744
Prove that given $a,b,c > 0$, it is possible to construct a triangle with sides of length $a,b,c$ if and only if $pa^2+qb^2 > pqc^2$
88956
For any three vectors $x,y,z\in\mathbb{R}^d$, we have $ \|y-z\|\cdot\|x\|\leq\|x-y\|\cdot\|z\|+\|z-x\|\cdot\|y\|$
72882
If $a$, $b$, and $c$ are sides of a triangle, then $\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}<2$.
111003
Prove that if $A\triangle B = C\triangle B$, then $A = C$
93634
X,Y,Z independent and $\sim N(1,1)$. Find $P(X+Y \geqq 3Z)$
27911
How can I prove that $xy\leq x^2+y^2$?
89838
Prove that $3 \le a+b+c \le 2\sqrt{3}$ in a triangle
29679
Prove: $|x-y|\leq |x|+|y|$
152311
Proving expression$\geq 2$, where variables are $x,y,z$
111903
An inequality for sides of a triangle