What is the orthocenter of triangle ABC?

Question

The coordinates are A = (2,6); B = (8,6); and C = (6,2). I need help finding the coordinates of the orthocenter. I have looked on youtube but I'm not completely understanding. Any help would be appreciated!

Answer 1

Have to draw the triange:

 

AC :  Y =6

 

  equation of   Perpendicular line from midpoint of AC:

    X = 6  (1)

 

 Perpendicular line from Midpoint of AB ( 4,4) :

  m = -1/ m_AB = -1/ [(6 -2) /( 2 -6)= -1/ [4/ -4] = 1

 

  Y = X +b

 

   4 = 4 + b    , b =0     Y =4  ( 2)

 

 Coordinate of Orthocenter:

  X=6     from (1)

  Y= 4    from (2)