If the coordinates of the mid-points of the sides of a triangle are `(1,1),(2,-3)a n d(3,4)dot` Find its (i) centroid

Explanation

Let `P(1, 1), Q(2, -3), R(3, 4) `be the mid-points of sides AB, BC and CA respectively of triangle ABC

. Let `A(x_1​,y_1​),B(x_2​,y_2​)andC(x_3​,y_3​)` be the vertices of triangle. ABC.

Then,
P is the mid-point of BC

⇒(`x_1​+x_2​)/2​=1,(y_1​+y_2)/2​​=1`

⇒`x_1​+x_2​=2 and y_1​+y_2​=2....(i)
`

Q is the mid-point of BC

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