# Show that the poi

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)= (0, 1, 2)

(x2,y2,z2)= (2, -1, 3)

(x3,y3,z3)= (1, -3, 1)

Length AB =

=

=

=

=

Length BC =

=

=

=

=

Length AC =

=

=

=

=

Also, AB2 + BC2 = 9 + 9 = 18 = AC2

Therefore, points A, B, C forms an isosceles right-angled triangle.

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