Define orthocenter.
Understand the Problem
The question is asking for the definition of the term 'orthocenter', which is a concept in geometry. The orthocenter refers to the point where the three altitudes of a triangle intersect.
Answer
The point where the three altitudes of a triangle intersect.
The orthocenter of a triangle is the point where the three altitudes intersect. An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.
Answer for screen readers
The orthocenter of a triangle is the point where the three altitudes intersect. An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.
More Information
The orthocenter, along with the centroid and circumcenter, are three of the several significant 'centers' of a triangle.
Tips
A common mistake is confusing the orthocenter with other triangle centers like the centroid or circumcenter.
Sources
- Orthocenter of a Triangle - Encyclopedia of Mathematics - encyclopediaofmath.org
- Orthocenter Definition & Properties - Math Open Reference - mathopenref.com
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