Question

Find the centroid and incentre of the triangle whose vertices are (2,4) , (6,4), and (2,0)​

Answer 1

Answer:

1. the centroid of the triangle ABC is G(3.3,2.67)

Answer 2

$\bold{Answer} \\ \green{\tt{ \therefore coordinate\:of\:centroid = (\frac{10}{3},\frac{8}{3})}}$

• From the given question :

$\bold{Step-by-step \: explanation} \\ \\ \text{According \: to \: centroid \: formula} \\ \tt \to x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \tt \to x = \frac{ 2+6+2}{3} \\ \\ \tt \to x = \frac{6+4}{3} \\ \\ \green{\tt \to x =\frac{10}{3} } \\ \\ \tt \to y = \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ \tt \to y = \frac{ 4 +4+0}{3} \\ \\ \tt \to y= \frac{ 4+4}{3} \\ \\ \green{\tt \to y= \frac{8}{3}} \\ \\ \green{\tt{\therefore Coordinate \: of \: centroid \: is \: (\frac{10}{3}, \frac{8}{3})} }$