Height (geometry) (source code)

= Height
{disambiguate=geometry}
{title2=$h$}

= Height
{synonym}

A <height> is a distance measured perpendicular to a specified base or reference surface, or along a specified vertical direction. The reference and direction are part of the definition.

For a triangle, the height to a chosen side is the perpendicular distance from the opposite vertex to the line containing that side, giving area $A=bh/2$. For an inclined object, its length and vertical height differ. In a <uniform gravitational field>, a change in vertical height gives a gravitational potential-energy change $mg\Delta h$.