If the points  (1,-1), (2,-1) and (4,-3) are the mid points of the sides of a triangle then write the coordinates of its centroid.

Explanation

Let P(1,-1), Q(2,-1) and R(4,-3) be the mid-points of the sides A B, B C and C A, respectively, of triangle A B C.

Let

`A(x_{1}, y_{1}), B(x_{2}, y_{2}) and C(x_{3}, y_{3})` be the vertices of ABC.

Since, P is the mid-point of A B,

`frac{x_{1}+x_{2}}{2}=1, frac{y_{1}+y_{2}}{2}=-1`

Q is the mid-point of BC.


`frac{x_{2}+x_{3}}{2}=2, frac{y_{2}+y_{3}}{2}=-1`

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