What does "orthocenter" mean?

One of the centers (UK:centres) of a triangle, defined as being the intersection of its three altitudes; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle; in a right-angled triangle it is the vertex opposite the hypotenuse and so is on the triangle.

Orthocenter

noun

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Definitions

Noun

1
One of the centers (UK:centres) of a triangle, defined as being the intersection of its three altitudes; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle; in a right-angled triangle it is the vertex opposite the hypotenuse and so is on the triangle.

Etymology

From ortho- + center.

Related phrases

acute triangle obtuse triangle

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.