if the coordinates of the mid points of the Sides of a triangle are `(1,2) ,(0,-1)` and `(2, -1)`.Find the coordinates of its vertices `:

Explanation

We have given the coordinates of the mid points of the Sides of a triangle as `(1,2) ,(0,-1)` and `(2, -1)`
Suppose`A(x_1,y_1),B(x_2,y_2)`and`C(x_3,y_3)`
be the vertices of `DeltaABC`.

Let `D(1,2) ,E(0,-1)` and `F(2,-1)` be the mid -points of sides `BC,AC` and `AB`

Since `D` is the mid point of `BC`.

`(x_2+x_3)/2=1` and `(y_2+y_3)/2=2`

`=>(x_2+x_3)=2` and `(y_2+y_3)=4 ..............(1)`

Similarly , E and F are the mid-points of CA and Ab respectively

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