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Question: If \(A(4, - 3)\), \(B(3, - 2)\) and\(C(2,\ 8)\) are the vertices of a triangle, then its centroid wi...

If A(4,3)A(4, - 3), B(3,2)B(3, - 2) andC(2, 8)C(2,\ 8) are the vertices of a triangle, then its centroid will be.

A

(–3,3)

B

(3,3)

C

(3,1)

D

(1,3)

Answer

(3,1)

Explanation

Solution

Let centroid is (x, y), then x=4+3+23=3x = \frac { 4 + 3 + 2 } { 3 } = 3

and y=32+83=1y = \frac { - 3 - 2 + 8 } { 3 } = 1.