If the vertices of triangles are placed at (0,0), (0,6), (6,0). The prove that the distance between the orthocentre and circumcentre is 3 root2.

Solution:
As we know the.. orthocentre is the point of intersection of altitudes of the triangle...
soo for right angle triangle.. orthocenter is the vertex itself on which right angle is made..
Circumcentre : circumcentre is the poin of intersection of the perpendicular bisector of the sides of the triangle..
so for rightangle triangle... circumcentre is the midpoint of the hypotenuse..




so distance b/w Orhtocentre and Circumcentre is
OD = (3²+ 3²)1/2
= 3*(2)^1/2



thanks and regards

Approved