Question

If the coordination of the mid-points of the sides of triangles are (2,1),(3,5) and(6,4). Find its centroid.

Answer 1

Given coordinates of vertex of triangles are

$(2,1),(3,5),(6,4)$

then coordinate of centroid are

${\Delta }_x=\frac{2+3+6}{3}$ & ${\Delta }_y=\frac{1+5+4}{3}$

${\Delta }_x=\frac{11}{3}$ ${\Delta }_y=\frac{10}{3}$

Hence coordinates of centroid are $(\frac{11}{3},\frac{10}{3})$