Area of ​​a triangle. Different results, same data. Why?

Question

Mathematics

Whether I have grown old, whether skis do not go.
There is an ordinary triangle, all its sides and angles are known.
Well, let it be:
a=2,b=3,c=4, angleY=33.
 So, when calculating the area by different methods, namely through the base and the height, through the two sides and the angle between them, according to the Heron formula, along the radius of the circumscribed circle, different results of the area are obtained. How is that?

Answer 1

Well let it be:

A triangle is uniquely defined either by three sides or by two sides and an angle.
Have you set your triangle with three sides and an angle at the same time?