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What is the formula for the Orthocenter of a Triangle?
What is the orthocenter of A 96,60 B 01,17 C 78,87 ?
I didnt want the area, and that site doesnt really explain much brian.
2 Answers
- Anonymous1 decade agoFavorite Answer
well u cant do it directly using only the vertices
u have to find the tangents of the angles of the triangle first by using tan (x)=(M-m)/(1+m*M) where M,m are the slopes (or gradient) of the sides of the triangle. then
orthocenter's x-co ordinate=
(96*tan(BAC)+1*tan(ABC)+78*tan(BAC))
---------------------------------------------------------
tan(BAC)+tan(ABC)+tan(BAC))
similarly y-co ordinate=
(60*tan(BAC)+17*tan(ABC)+87*tan(BAC))
------------------------------------------------------------
(tan(BAC)+tan(ABC)+tan(BAC))
(those hyphens represent divided by as i couldnt get it into a single line)
and ABC is the angle between BA and BC
- 1 decade ago
Try this web page for your answer:
Source(s): mathopenref.com
