The points (6, 6), (0, 6) and (6, 0) are the vertices of a right triangle as shown in the figure. Find the distance between its centroid and D (point of median of AB).
√2units
Point D = midpoint of AB
=(x1+x22,y1+y22)
=(6+02, 6+02)=(3,3)
Centroid (G) =(x1+x2+x33, y1+y2+y33)=(6+0+63, 0+6+63)=(4,4)
Distance between two points (x1,y1) and (x2,y2) is √(x2−x1)2+(y2−y1)2∴Distance between centroid and pointof median AB=√(4−3)2+(4−3)2 =√1+1 =√2 units