By clicking and dragging the points below, is it possible to make a triangle with lengths/angles different from the lengths/angles in \triangle{ABC}?.
Your triangle can be anywhere. There is no need to line up the two triangles.
ANSWER
With these constraints, there are two ways to construct a triangle. See if you can find both ways.
Both of these triangles have sides with lengths \overline{AB} and \overline{BC},
and an angle with the same measure as \angle C.
However, angles \angle A and \angle B are not the same.
So, yes, we can construct a triangle with the same angles as \triangle ABC but different side lengths.
With these constraints, there is more than one way to construct a triangle. See if you can find some different ways.
Both of these triangles have the same three angles, but they have different side lengths:
So, yes, we can construct a triangle different from \triangle ABC with these constraints.
No, with these constraints, it is not possible to make a triangle with different lengths or angles from \triangle ABC.