Assertion: triangle's orthocenter | /r/CapableOf | divide altitude
Facets:
value: into segments of lengths
type: OTHER
Source sentences:
text: The product of the lengths of the segments that the orthocenter divides an altitude into is the same for all three altitudes:
text: If we denote that the orthocenter divides one altitude into segments of lengths u and v, another altitude into segment lengths w and x, and the third altitude into segment lengths y and z, then uv = wx = yz.:p.94