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Question

Find the third vartex of a ABC if two of its vertices are B(3,1) and C(0,2) and its centroid is at the origin.

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Solution

Centriod coordinates are given by (x1+x2+x33,y1+y2+y33)

As it is at origin x1+x2+x3=0

x3=3 also y1+y2+y3=0 y3=1+2=1

(x3,y3)=(3,1)

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