two vertices of a triangel are (3,2), (-2,1) and its centroid is [5by 3, -1 by 3 ] find the third vertex
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Answer:
(4,-4)
Step-by-step explanation:
Let
A = (3,2)
B = (-2,1)
C = (x,y)
centroid = (5/3,-1/3)
Formula of Centroid =
{ x1+ x2+ x3 /3 , y1+ y2+ y3 /3}
hence,
[ (3) + (-2) + x = 5 ] and [ (2) + (1) + y = (-1) ]
SOLVING THESE TWO WE CAN GET THE VALUES OF X AND Y.
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