Question

find the coordinates of the centroid of a triangle whose vertices are (0,6),(8,12)&(8,0)?

Answer 1

Hope you understand.

Answer 2

$\bold{Answer} \\ \green{\tt{ \therefore coordinate\:of\:centroid = (\frac{16}{3},6)}}$

• From the given question :

$\bold{Step-by-step \: explanation} \\ \\ \text{According \: to \: centroid \: formula} \\ \tt \to x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \tt \to x = \frac{ 0+8+8}{3} \\ \\ \tt \to x = \frac{8+8}{3} \\ \\ \green{\tt \to x = \frac{16}{3}} \\ \\ \tt \to y = \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ \tt \to y = \frac{ 6 +12+0}{3} \\ \\ \tt \to y= \frac{18}{3} \\ \\ \green{\tt \to y= 6} \\ \\ \green{\tt{\therefore Coordinate \: of \: centroid \: is \: (\frac{16}{3},6)} }$