Assertion: triangle's line | /r/CapableOf | go through the triangle's incenter
Facets:
Source sentences:
text: Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter.
text: Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter (the center of its incircle).
text: Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter; every line through the incenter that splits the area in half also splits the perimeter in half.
text: Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter (the center of its incircle).