In $\Delta ABC,$ if $8{R^2} = {a^2} + {b^2} + {c^2},$ then the triangle is

In a $\Delta ABC$,if two sides $b$ and $c$ and an angle $B$ are given.
Statement $-1$: Let $b = 5 \ cm, c = 3 \ cm$ and $\angle B = 60^\circ$. The total number of possible triangles is $2$.
Statement $-2$: If $c \sin B < b < c$ and $B$ is an acute angle,then there are two possible values of $\angle C$.

In $\triangle ABC$ with the usual notations,if $\left(\tan \frac{A}{2}\right)\left(\tan \frac{B}{2}\right)=\frac{3}{4}$,then $a+b=\ldots$ (in $c$)

In any $\triangle ABC$,the simplified form of $\frac{\cos 2A}{a^2} - \frac{\cos 2B}{b^2}$ is

If the angles of a triangle are in the ratio $1:2:3$,then their corresponding sides are in the ratio

In a triangle $ABC$,if $\cot \frac{A}{2} \cot \frac{B}{2} = K$,then all the possible values of $K$ lie in