Question

If A(1,2) and B(-2,1)be two vertices of triangle ABC, whose centroid is (1,-1/3) hen the coordinate of vertex c are

Answer 1

Answer:

Answer is (4,-4)

Step-by-step explanation:

let A(x1,y1),B(x2,y2),C(x3,y3) be the vertices of a triangle

from the question (x1,y1)=(1,2)   and   (x2,y2)=(-2,1)

Let G be the centroid of the given triangle

formula for finding the centroid(G) =  {(x1+x2+x3)/3  ,  (y1+y2+y3)/3}   =>1

from the question G=(1,-1/3)                 =>2

from 1 and 2 .......

{(1-2+x3) / 3  ,  (2+1+y3) /3}    =  {1,-1/3}

(-1+x3) / 3  =  1       ==>     x3 = 4

(3+y3) / 3  =   -1 / 3    ==>  y3 = -4

Therefore the vertex C(x3,y3) = (4,-4)

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