orthocenter
[/ˈɔːrθoʊˌsɛntər/]
nounpl: orthocenters
🇧🇷 ortocentro
1. The point where the three altitudes of a triangle intersect; the intersection point of the perpendiculars drawn from each vertex to the opposite side
The orthocenter of an acute triangle lies inside the triangle, while for an obtuse triangle it lies outside.
O ortocentro de um triângulo acutângulo fica dentro do triângulo, enquanto que para um triângulo obtusângulo fica fora.
2. A significant point of concurrency in triangle geometry, one of the four classical centers of a triangle
Students learn about the orthocenter alongside the centroid, circumcenter, and incenter.
Os alunos aprendem sobre o ortocentro juntamente com o baricentro, circuncentro e incentro.
💡 The orthocenter is a fundamental concept in secondary and higher mathematics education in both Brazil and the United States. It appears prominently in geometry courses as part of triangle properties and advanced Euclidean geometry. The term is technical and specialized, used primarily in academic and educational contexts.
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