No, you divide it by two.
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The answer will depend on the shape of the triangle and what is known about it.
As written, the statement is false. You can't have it both ways. I suspect you meant to write that dilating a triangle changes the size or area of the triangle but does not change its shape. That would be true.
Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.
There is only one basic shape for an equilateral triangle. The area can only vary as the length of the sides vary.
Two sides of a triangle are not enough to determine its shape and so it is impossible to find its area.