Q. 93.8( 8 Votes )

# Show that D(-1, 4

Answer :

To prove: D is circumcenter of triangle ABC

Let us consider D as circumcenter of triangle ABC.

AD = BC = CD.

Formula:

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

D= Here,

(x1,y1,z1)= (3, 2, -5)

(x2,y2,z2)= (-3. 8, -5)

(x3,y3,z3)= (-3, 2, 1)

(x4,y4,z4) = (-1, 4, -3)

Length AD = = = = = Length BD = = = = = Length CD = = = = = Hence, the condition is consistent.

Hence, D is circumcenter of triangle ABC.

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