Answer:
 = 8
= 8
 = 6
 = 6
Therefore the co-ordinate of the center of mass is = 
Step-by-step explanation:
Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.
Center of mass of a triangle is the centriod of a triangle.
Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)
 = ∑(mass × x-co-ordinate)
 = ∑(mass × x-co-ordinate)
 = ∑(mass × y-co-ordinate)
 = ∑(mass × y-co-ordinate)
Therefore  
 = (4×2)+{3×(-3)}+(3×3)
 = (4×2)+{3×(-3)}+(3×3)
      =8
 = {4×(-3)}+{3×1}+(3×5)
 = {4×(-3)}+{3×1}+(3×5)
     =6
The x co-ordinate of the center of mass is the ratio of  to the total mass.
 to the total mass.
The y co-ordinate of the center of mass is the ratio of  to the total mass.
 to the total mass.
Total mass (m) = m₁+ m₂+ m₃
                         = 4+3+3
                         =10
The x co-ordinate of the center of mass is 
The y co-ordinate of the center of mass is 
Therefore the co-ordinate of the center of mass is = 