Question

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

Answer 1

C =( x1 + x2 + x3/3 , y1 + y2 + y3/3)

Where,

C is the centroid of the triangle.

x1,x2,x3 are the x-coordinate’s of the vertices of the triangle.

y1,y2,y3 are the y-coordinate’s of the vertices of the triangle.

x1 = 2 , y1 = 4

x2 = 6 , y2 = 4

x3 = 2 , y3 = 0

C = (2+6+2/3 , 4+4+0/3)

C = (10/3 , 8/3)

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Answer 2

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

• From the given question :

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