Is it possible to make a triangle such that the side opposite the smallest angle is as long as (or long than) the other two sides?

Answer 1

If the opposite two sides add up to the same length as the third side, then when the two short legs are put together the result would be a line segment of equal length as the third side. Those two line segments would be superimposed when they were used to attempt making a triangle. But sine they would line up with each other the result would be a line segment with length equal to the third "side".

If one line segment is longer than the sum of the other two line segments, then those two line segments would be too short to complete a triangle.

So to form a triangle, length of each line segment must be less than the summ of the lengths of the other two line segments.