# Definition:Polygon/Height

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## Definition

The **height** of a polygon is the length of a perpendicular from the base to the vertex most distant from the base.

In the words of Euclid:

*The***height**of any figure is the perpendicular drawn from the vertex to the base.

(*The Elements*: Book $\text{VI}$: Definition $4$)

## Also known as

The **height** of a polygon is also known as its **altitude**.

However, on $\mathsf{Pr} \infty \mathsf{fWiki}$ it is preferred that the term **altitude** be reserved for the actual perpendicular line itself, and for the term **height** to be used for its length.

## Also see

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**altitude**:**2.**