If (a, b,),(b, c), (c, a) are the centroids of the triangle with the origin then find the value of a*a*a+b*b*b+c*c*c
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( a , b) , ( b , c ) and ( c , a) are vertices of traingle so,
cenroid ={ (a+b+c)/3 , (a+b+c)/3 }
but centroid =(0,0)
so,
a + b + c =0
we know ,
a^3 + b^3 + c^3 = 3abc
only when a+b+c =0
so,
a^3 + b^3 + c ^ 3 = 3abc
cenroid ={ (a+b+c)/3 , (a+b+c)/3 }
but centroid =(0,0)
so,
a + b + c =0
we know ,
a^3 + b^3 + c^3 = 3abc
only when a+b+c =0
so,
a^3 + b^3 + c ^ 3 = 3abc
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