Consider a triangle with coordinates of its vertices as and. The bisector of the interior angle of has the equation which can be written in the form 


The distance between the orthocentre and the circumcentre of the triangle is 


a) 
25/2 
b) 
29/2 
c) 
37/2 
d) 
51/2 
Consider a triangle with coordinates of its vertices as and. The bisector of the interior angle of has the equation which can be written in the form 


The distance between the orthocentre and the circumcentre of the triangle is 


a) 
25/2 
b) 
29/2 
c) 
37/2 
d) 
51/2 
(a)
Since triangle is right angled, circumcentre is the midpoint of and orthocenter is . Hence,