Question

The mid points of the sides of a triangle are D(6,1) E(3,5) and F(-1,-2) then the vertex opposite to D is

Answer 1

hi friend,

The mid points of the sides of a triangle are D(6,1) E(3,5) and F(-1,-2) .
then D,E,F,vertex opposite to D forms a parallelogram.we know that in a parallelogram, diagonals bisect each other ..they have same midpoint ..

let G(x,y) be the vertex opposite to D

now, (6+x/2,1+y/2)=(3-1/2,5-2/2)

=(6+x/2,1+y/2)=(1,3/2)

6+x=2

x=-4

and also , 1+y=3

y=2

so the vertex opposite to D is (-4,2)

I hope this will help u ;)

♥dhathri123♥

Answer 2

the answer is (-4,2)