Question

find the co-ordinator of vertices of a triangle sides of mid points at (2,1),(-1,3)and(-2,5)​

Answer 1

Answer:The vertices of triangle is

A(1,3) B(3,-1)andC(-5,7)

Step-by-step explanation:

Let the vertices be A(x1,y1),B(x2,y2)and C(x3,y3)

The mid point of AB(2,1)BC(-1,3)andAC(-2,5)

Then

x1+x2=4,y1+y2=2

x2+x3=-2,y3+y2=6

x1+x3=-4,y1+y3=10

Then solve the the eqn

x1 =1,x2=3,x3=-5andy1=3,y2=-1,y3=7

Then A(1,3) B(3,-1)andC(-5,7)