What is the largest possible number of perpendicular sides in polygons.?

Answer 1

In polygons, the largest possible number of perpendicular sides occurs in a right-angled polygon, specifically in a rectangle or square. However, if we consider a more complex arrangement, a polygon can have multiple right angles, such as in an orthogonal polygon. For a general n-sided polygon, the maximum number of perpendicular sides can theoretically reach n if each internal angle is 90 degrees, but practical constraints limit this. Thus, in a simple orthogonal shape with many right angles, the maximum is typically half the number of sides, rounded down, particularly in shapes like a grid.