Question

find the centroid of the triangle whose vertices are(-4,6)(2-2)and(2,5)

Answer 1

$\bold{Answer} \\ \green{\tt{ \therefore coordinate\:of\:centroid = (0,3)}}$

• From the given question :

$\bold{Step-by-step \: explanation} \\ \\ \text{According \: to \: centroid \: formula} \\ \tt \to x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \tt \to x = \frac{-4+2 +2}{3} \\ \\ \tt \to x = \frac{4-4}{3} \\ \\ \green{\tt \to x =0} \\ \\ \tt \to y = \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ \tt \to y = \frac{ 6 - 2+5}{3} \\ \\ \tt \to y= \frac{9}{3} \\ \\ \green{\tt \to y= 3} \\ \\ \green{\tt{\therefore Coordinate \: of \: centroid \: is \: (0, 3)} }$