Lines and Triangles

goals
In a triangle ABC, if $B={ 30 }^{ 0 }$ and $c=\sqrt { 3 } b$, then A can be equal to :-
In the adjoining figure, it is given that  $\angle A={ 60 }^{ },$  $CE\parallel BA$  and  $\angle ECD={ 65 }^{ }.$  Then  $\angle ACB$  equals.
Find the area of an isosceles triangle with base $10\ cm$ and perimeter $36\ cm$
If  D is the midpoint of the side Bc of a triangle ABC, then prove that $\vec { AB } +\vec { AC } =\vec { 2AD }$
If $\Delta ABC \sim \Delta$ PQR, perimeter of $\Delta$ ABC 32 cm, perimeter of $\Delta$ PQR = 48 cm and PR = 6cm, then find the length of AC