orthocenter
Sign in to saveAlso known as orthocentre
right|thumb|The three altitudes of a triangle intersect at the orthocenter, which for an Acute and obtuse triangles|acute triangle is inside the triangle.
~9 min read
Encyclopedic overview
10 sectionsContents
- Formulation
- Properties
- Orthocentric system
- Relation with circles and conics
- Relation to other centers, the nine-point circle
- History
- See also
- Notes
- References
- External links
right|thumb|The three altitudes of a triangle intersect at the orthocenter, which for an Acute and obtuse triangles|acute triangle is inside the triangle.
The orthocenter of a triangle, usually denoted by , is the point where the three (possibly extended) altitudes intersect. The orthocenter lies inside the triangle if and only if the triangle is acute. For a right triangle, the orthocenter coincides with the vertex at the right angle. For an equilateral triangle, all triangle centers (including the orthocenter) coincide at its centroid.
Excerpted from Wikipedia’s “orthocenter” article, available under the CC BY-SA 4.0 licence.