if the coordinates of two vertices of a triangle are (3. – 4) and (-1, 2) and the coordinates of its centroid are (1,3),
then the coordinates of the third vertex of the trianngle is
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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
)
Let the third vertex of the triangle be (x,y)
So, centroid =(
3
−7+8+x
,
3
6+5+y
)=(1,3)
=(
3
1+x
,
3
11+y
)=(1,3)
=>1+x=3;11+y=9
x=2;y=−2
Hence the third vertex of the triangle is (2,−2)
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