if (1,4) is the centroid of triangle whose vertices are (a,3), (4,b) and (-3,2) then a= ________
[2,4,6]
plz answer step by step
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Answer:
Centroid of a triangle with vertices
(x
1
,y
1
);(x
2
,y
2
) and (x
3
,y
3
) is calculated by the formula (
3
x
1
+x
2
+x
3
,
3
y
1
+y
2
+y
3
)
So,
centroid =(
3
4+3+5
,
3
−6−2+2
) =(4,−2)
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