A(2, -2) , B (4,3) and C(-3,11) are the vertices of ABC. If G is centroid of triangle, then the
coordinates of G ?
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Step-by-step explanation:
A(2, -2) , B (4,3) and C(-3,11) are the vertices of ABC. If G is centroid of triangle, then the
coordinates of G will be..
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Let,
A ( 2, -2 ) - ( x1, y1 )
B ( 4, 3 ) - ( x2, y2 )
C ( -3, 11 ) - ( x3, y3 )
Centroid of a triangle ( G ) = [ x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3 ]
G = [ 2 + 4 + ( -3 ) / 3 , ( -2 ) + 3 + 11 / 3 ]
G = [ 6 - 3 / 3 , - 2 + 14 / 3 ]
G = [ 3 / 3 , 12 / 3 ]
G = [ 1 , 4 ]
Hence, the coordinates of G ( centroid ) is ( 1 , 4 )
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