◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--1-plane-geometry / Definition: Altitude of a Triangle

Definition: Altitude of a Triangle

The altitude of a triangle is the perpendicular segment from the triangle's base to the base's opposing vertex.

Examples

In the following two triangles, the segment \(\overline{AD}\) is perpendicular to the line \(\overline{BC}\) and denotes the altitude.

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References

Adapted from CC BY-SA 3.0 Sources:

1. Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014

Adapted from (Public Domain)

1. Casey, John: "The First Six Books of the Elements of Euclid"