If a vertex of a triangle is and the mid-points of two side through this vertex are and

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If a vertex of a triangle is

(1, 1)

and the mid-points of two side through this vertex are

(-1, 2)

and

(3, 2)

, then find the centroid of the triangle. (1)

\left(\frac{1}{3}, \frac{7}{3}\right)

(2)

\left(1, \frac{7}{3}\right)

(3)

\left(-\frac{1}{3}, \frac{7}{3}\right)

(4)

\left(-1, \frac{7}{3}\right)