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The Centroid

If D-7,6 , ...

Question

If $D (- 7, 6), E (8, 5)$ and $F (2, - 2)$ are vertices of $Δ D E F$ ,find the co-ordinates of centroid of $Δ D E F$

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Solution

centroid's coordinates are given by $= (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})$
$\Rightarrow$ Here, the coordinates would be $= (\frac{- 7 + 8 + 2}{3}, \frac{6 + 5 - 2}{3})$
$= (1, 3)$

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