What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(9 ,5 )#, and (7 ,6 )#?
1 Answer
Mar 13, 2016
Othocenter
Explanation:
In order for the orthocenter to be found, the linear equations of the altitudes must be obtained first.
To find the equations, use perpendicular slopes and corners
For side containing (4,7) and (9,5),
perpendicular slope
For side containing (7,6) and (9,5),
perpendicular slope
For side containing (7,6) and (4,7),
perpendicular slope
The equation of the altitude passing thru (7,6) is:
The equation of the altitude passing thru (4,7) is:
The equation of the altitude passing thru (9,5) is:
Simultaneous solution of these lines results to
God bless....I hope the explanation is useful.
