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horizontal
A dimension pertaining to the size of an object, generally within a horizontal axis.
"Landscape" orientation prints the page in such a way that in order to read it, you hold the paper with its longer dimension horizontal and its shorter dimension vertical.
Yes. It is usually the linear dimension in the horizontal direction. But it depends on the orientation of the triangle.
Slope is the change in y (vertical dimension) with the change in x (horizontal dimension). On a Cartesian coordinate system, the slope is equal to infinity for change in x = 0, or a vertical line.