Definition:Triangle (Geometry)/Height

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Definition

The height of a triangle is the length of a perpendicular from the apex to whichever side has been chosen as its base.


That is, the length of the altitude so defined.


TriangleAltitude.png

Thus the length of the altitude $h_a$ so constructed is called the height of $\triangle ABC$.


Also known as

The height of a triangle can sometimes be seen referred to as its altitude.

However, it is preferred on $\mathsf{Pr} \infty \mathsf{fWiki}$ that the terms height and altitude are kept strictly separate.


Sources