What is the orthocenter of a triangle with corners at #(2 ,8 )#, #(3 ,4 )#, and (6 ,3 )#?
Let the vertices of triangle ABC be
Now, the equation of altitude drawn from vertex
Similarly, the equation of altitude drawn from vertex
Multiplying (1) by
The ortho-center is the point of intersection of altitudes drawn from vertices to the opposite sides of a triangle hence the orthocenter of given triangle is