Answer :

To prove: Points A, B, C form isosceles triangle.


Formula:


The distance between two points (x1,y1,z1) and (x2,y2,z2) is given by


D=


Here,


(x1,y1,z1)= (4, 6, -3)


(x2,y2,z2)= (0, 2, 3)


(x3,y3,z3)= (-4, -4, -1)


Length AB =


=


=


=


= = 2


Length BC =


=


=


=


= = 2


Length AC =


=


=


=


=


Here, AB = BC


vertices A, B, C forms an isosceles triangle.


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