In $\Delta PQR$,if $\sin P, \sin Q$ and $\sin R$ are in $A$.$P$.,then:

If the altitudes of a triangle are in arithmetic progression,then the sides of the triangle are in

With usual notations,if the angles $A, B, C$ of a $\triangle ABC$ are in $A$.$P$. and $b:c = \sqrt{3}:\sqrt{2}$,then $\angle A=$ (in $^{\circ}$)

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 a triangle $ABC$, if $\tan \frac{A}{2} : \tan \frac{B}{2} : \tan \frac{C}{2} = 15 : 10 : 6$, then $\frac{a}{b-c} =$

In triangle $ABC$ with usual notations $b=\sqrt{3}$,$c=1$,and $m \angle A=30^{\circ}$,then the largest angle of the triangle is (in $^{\circ}$)