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  4. If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a, b). The value of (a+b) is

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Q. If the two vertices of a triangle are $(7,2)$ and $(1,6)$ and its centroid is $(4,6)$ then the coordinate of the third vertex are $(a, b)$. The value of $(a+b)$ is

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Solution:

$\frac{7+1+a}{3}=4$ and $\frac{2+6+b}{3}$
image
$a =4$ and $b =10 $
$\Rightarrow a + b =14$