Question

38) In the AABC, P (3,1), Q(5,6) and R (-3,2) are the mid points of AB, BC and CA respectively,
Find the vertices of the AABC and show that Ar (AABC) = 4% Ar (APDR),
[Ar = area]​

Answer 1

Answer:

let coordinates of A,B,C be (x1,y1), (x2,y2),(x3,y3) respectively

then by midpoint formula

x1+x2=6 y1+y2= 2

x2+x3=10 y2+y3=12

x3+x1=-6, y3+y1=4

x1+x2+x3=5 and y1+y2+y3=9

x1=-5 y1=-3

x2=11 y2=5

x3=-1 y3=7

A(-5,-3) B(11,5) C(-1,7)