If two vertices of a triangle are (-3, 1), (0, -2) and centroid is at origin, then find the coordinates of the third vertex?
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Answer:
(3,1)
Step-by-step explanation:
let the 3rd vertex be (x,y) and other two vertices are (-3,1) and(0,-2)
coordinates of centroid of triangle =(0,0)
therefore,
(-3+0+×/3 , 1-2+y/3) =(0,0)
-3+x/3=0
x-3=0
x=3
and 1-2+y/3 =0
y-1/3=0
y-1=0
y=1
therefore,
x=3 and y=1
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