Question

Please help me solve this question

Answer 1

let A(x1,y1),B(x2,y2),C(x3,y3)
(x2+x3)/2=3,(y2+y3)/2=4
(x1+x3)/2=8,(y1+y3)/2=9
(x2+x1)/2=6,(y2+y1)/2=7

(x2+x3)=6,(y2+y3)=8
(x1+x3)=16,(y1+y3)=18
(x2+x1)=12,(y2+y1)=14

2(x2+x1+x3)=34,2 (y2+y1+y3)=40
(x2+x1+x3)=17, (y2+y1+y3)=20
subtracting above eq one by one
x1=11,x2=1,x3=5
y1=12,y2=2,y3=6