What is the orthocenter of a triangle with corners at #(9 ,5 )#, #(4 ,4 )#, and (8 ,6 )#?
1 Answer
Oct 18, 2017
Ortho center (23/3, 23/3)
Explanation:
Slope of AB
Slope of CO perpendicular to AB is -5 (O is the ortho center)
Eqn of OC is
Slope of AC
Slope of OB perpendicular to AC is
Eqn of OB is
Solving Eqns (1) & (2),
Coordinates of O (8,6)#
Verification :
Slope of BC
Slope of OA
Eqn of OA is
Solving Eqn (2) & (3),