Question

The coordinates of the vertices of a triangle are (-1, 5), (3, 7), (1, 1). Find the coordinates of its centroid.

Answer 1

Centroid of the triangle

\(x=-1+\frac{2}{3}(2+1)\)

\(=-1+\frac{2}{3}\times3=1\)

\(y=5+\frac{2}{3}(4-5)\)

\(=5+\frac{2}{3}\times1=\frac{13}{3}\)

\((\frac{3}{3},\frac{13}{3})=(1,4\frac{1}{3})\)