Question

Write down the coordinates of centroid of the triangle whose vertices are(4,7), (8,4) and
(7.11).(E)

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Answer 1

$Let \: A(x_{1},y_{1}) = (4,7) ,$

$\:B(x_{2},y_{2}) = (8,4) ,\: and$

$C(x_{3},y_{3}) = (7,11) \:are \: vertices \: of$

$a \: triangle$

$\pink {Centroid (G) = \Big( \frac{x_{1}+x_{2}+x_{3}}{3} , \frac{y_{1}+y_{2}+y_{3}}{3} \Big)}$

$= \Big( \frac{4+8+7}{3} , \frac{7+4+11}{3}\Big)</p><p>[tex] = \Big( \frac{19}{3} , \frac{22}{3} \Big)$

Therefore.,

$\red {Centroid \: of \: the \: triangle \: ABC}$

$\green { = \Big( \frac{19}{3} , \frac{22}{3} \Big) }$

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