Question

Find the co-ordinates of centrold
of triangles if points (-7, 6)
E (8,5) and F(2,-2) are
midpoints of sides of that
triangle​

Answer 1

Answer:

$\red { Centroid (G) } \green { = (1,3) }$

Step-by-step explanation:

$Let \: D , E \:and \: C \: are \:mid \:points \\ of \:of \: sides \: of \: triangle \: ABC$

$D(-7,6) = (x_{1}, y_{1}) , \\E(8,5) = (x_{2}, y_{2}) , \\</p><p>F(2,-2) = (x_{3}, y_{3})$

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

$= \left( \frac{ -7+8+2}{3}, \frac{6+5-2}{3}\right)\\= \left( \frac{3}{3}, \frac{9}{3}\right)\\= \left( 1, 3\right)$

Therefore.,

$\red { Centroid (G) } \green { = (1,3) }$

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