two vertices of a triangle are ( 3,-5 ) and (-7 , 4 ) . if it's centroid is (2,-1) . find the third vertex.
nirali96:
10,4
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a( 3,-5 ) 3i -5j
b (-7 , 4 ) -7i+4j
c=?
centroid 2i-j
centroid=A+B+C/3
2i-j=3i-7j-5i+4j+c/3
3*(2i-j)=-2i-3j+c
6i-3j+2i+3j=c
8i=c
third vertex (8,0)
b (-7 , 4 ) -7i+4j
c=?
centroid 2i-j
centroid=A+B+C/3
2i-j=3i-7j-5i+4j+c/3
3*(2i-j)=-2i-3j+c
6i-3j+2i+3j=c
8i=c
third vertex (8,0)
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