If the centroid of a triangle is (3, 1) and one of the vertices is (0,-3), then the length of the median is
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Given, A(−7,6),B(8,5)
and centroid (1,3).
the third vertex be (x,y).
By applying centroid's formula
⇒(3x1+x2+x3,3y1+y2+y3)=(1,3)
⇒(3−7+8+x,36+5+y)=(1,3)
⇒(31+x,311+y)=(1,3)
⇒31+x=1,311+y=3
⇒1+x=3,11+y=9
⇒x=3−1,y=9−11
⇒x=2,y=−2
The third vertex is (2,−2).
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