Recently I have found a question like following:
In triangle $ABC$, $AB=AC=2$. Which of the following could be the area of triangle $ABC$? Indicate all possible areas:
[A] $0.5$ [B] $1.0$ [C] $1.5$ [D] $2.0$ [E] $2.5$ [F] $3.0$
From my points of view, I can only guess one answer if I assume the triangle is a right angle triangle. In that case, the area will be $2$.
But the answer showed the result, [A][B][C][D].
So, my question this is there any axiom that the area of the right angle will be the highest area of any type of triangle with the expressing two lengths of it?
Thanks in advance.