Question

The mid-points D,E and F of the sides of a triangle ABC are (3,4) , (8,9) and (6,7). Find the co-ordinates of the vertices of the triangle.

Answer 1

let A (u, r) B (x, y) and C (v, w) vertices of triangle ABC
now use section formula and find following equation

x+v=6----(1)
v+r=16-----(2)
x+u=12------(3)

solve this equation and x -axis of point

y+w=8------(4)
w+r=18------(5)
y+r=14-------(6)
solve this three equation and find y-axis point
now point is (1,2) (11,12) and (5,6)

Answer 2

Answer:

(1,2) (5,6) (11,12) are the required coordinates