triangle.
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Square
An obtuse triangle is a triangle with one angle greater than 90 degrees. Since a perpendicular side is a side that forms a right angle with another side, an obtuse triangle can have 0 perpendicular sides if all its angles are obtuse. However, it can also have 1 perpendicular side if one of its angles is a right angle.
I suppose. All of a square's sides are perpendicular.
A square
It depends on what IS known. If you know one side and the perpendicular distance from that side to the opposite vertex then it is 1/2*side*perp distance. If you know two angles (and so all three) you can use the sine rule to calculate both the missing sides.