Assertion: triangle's orthocenter | /r/AtLocation | an acute triangle's interior
Facets:
value: exterior to an obtuse triangle
type: LOCATION
Source sentences:
text: Since barycentric coordinates are all positive for a point in a triangle's interior but at least one is negative for a point in the exterior, and two of the barycentric coordinates are zero for a vertex point, the barycentric coordinates given for the orthocenter show that the orthocenter is in an acute triangle's interior, on the right-angled vertex of a right triangle, and exterior to an obtuse triangle.