Q. 2

# Show that the poi

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

Formula:

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

D=

Here,

(x1,y1,z1)= (1, -1, -5)

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

(x3,y3,z3)= (9, 1, -3)

Length AB =

=

=

=

= = 6

Length BC =

=

=

=

= = 6

Length AC =

=

=

=

= = 6

Hence, AB = BC = AC

Therefore, Points A, B, C make an equilateral triangle.

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