Question

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

• A. $(\frac{7}{3},4)$
• B. $(\frac{10}{3},\frac{8}{3})$
• C. $(10,8)$
• D. None of these

Answer 1

Answer: (B)

$(\frac{10}{3},\frac{8}{3})$

The centroid of a triangle ABC is given by:

$C=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

$x_1,x_2,x_3$ are the x-coordinate’s of the vertices of the triangle.

$y_1,y_2,y_3$ are the y-coordinate’s of the vertices of the triangle.

$=(\frac{2+6+2}{3},\frac{4+4+0}{3})$

$=(\frac{10}{3},\frac{8}{3})$