Question

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

A
(73,4)
B
(103,83)
C
(10,8)
D
None of these

Solution

## The correct option is C $$\left(\dfrac{10}{3}, \dfrac{8}{3}\right)$$The centroid of a triangle ABC is given by:$$C=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)$$$$x_1,x_2,x_3$$ 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.$$=\left(\dfrac{2+6+2}{3}, \dfrac{4+4+0}{3}\right)$$$$=\left(\dfrac{10}{3}, \dfrac{8}{3}\right)$$Maths

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