What is the orthocenter of a triangle with corners at #(7 ,8 )#, #(3 ,4 )#, and (8 ,3 )#?
1 Answer
Let the coordinates of three vertices of the triangle ABC be
Let the coordinate of the
O being orthocenter the straight line passing through C and O will be perpendicular to AB,
So
O being orthocenter the straight line passing through A and O will be perpendicular to BC,
So
Comparing (1) and (2)
Inserting the value of h in(1)
Hence coordinate of the orthocenter is