1.

(3,-5), (4,3), (11,-4) Find the centroids of the triangles whose vertices are given

Answer»

Solution :


Let ( x , y ) is the centroid of a

triangle WHOSE veriticies are


A(3,-5) = ( X1, y1),


B(4,3) = ( x2, y2 ),


C(11,-4) = ( x3, y3 ),


x = ( x1 + x2 + x3 )/3


=> x = ( 3 + 4 + 11 )/3


=> x = 18/3


=> x = 6 ,


y = ( y1 + y2 + y3 )/3


=> y = ( -5 + 3 -4 )/3


=> y = -6/3


=> y = -2


Therefore ,


Centroid ( G ) = ( x , y )


= ( 6 , -2 )


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