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Height, like depth, is used as a term for linear measure in a dimension perpendicular to both length and breadth.
However, whereas depth has connotations of down, height is used for distances up from the plane.
When discussing the size and shape of a general polygon, the words height and width are often seen.
The height of a polygon is the linear measure going up the page.
In contrast, the width is the linear measure going across the page.