Question

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

Answer 1

centroid formula. =x1+x2+x3/3. y1+y2+y3/3

centroid of triangle= -2+2+6/3 ;. 4-2+4/3

=2. ;. 2
hence centroid of triangle is (2,2).

Answer 2

$\bold{Answer} \\ \green{\tt{ \therefore coordinate\:of\:centroid = (2,2)}}$

• From the given question :

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