SOLUTION: angle ABC has vertices A(4,4), B(-1,4), and C(1,6). Find the orthocenter of angle ABC

Question 549170: angle ABC has vertices A(4,4), B(-1,4), and C(1,6). Find the orthocenter of angle ABC

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
AB is the horizontal line , so the altitude from point C is the perpendicular (vertical) line through C, .
The slope of BC is , so the slope of the (perpendicular) altitude from/through A is . The altitude is on the line
---> --->
The intersection of those two altitudes is the intersection of the 3 altitudes, the orthocenter. It's coordinates are and
The orthocenter of triangle ABC is (1,7).

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