Height, in elementary geometry

The segment of the perpendicular dropped from a vertex of a geometric figure (a triangle, a pyramid, a cone) on its base or on its extension, and also the length of this segment.

<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/h046820a.gif" />

Figure: h046820a

The height of a trapezium, prism, cylinder, spherical segment, or a pyramid or a cone truncated parallel to the base, is the distance between the lower and the upper base. The figure shows the heights $h$ of a triangle, of a trapezium and of a truncated cone.

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