Question
Tue January 01, 2013 By:

the mid points of the sides of a triangle are (3,4) , (4,1) , (2,0).find the coordinates of the vertices of the triangle.

Expert Reply
Tue January 01, 2013

Let A(x 1 ,y 1 ) , B(x 2 ,y 2 ), C(x 3 ,y 3 ) be the vertices of a triangle and D(3,4),E(4,1),F(2,0)be the midpoint of sides AB,BCand CA

Then by midpoint formula,

 (x1+x2/2 , y1+y2/2)=(3,4)

 x1+x2/2 =3

 x1+x2=6

 (y1+y2/2)=4

 y1+y2=8

Similarly, use mid point formula again to get 4 more equations. Solve the equations to get the coordinates of A, B, and C
Sun March 26, 2017

Please solve

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