Question

In ∆ABC, the coordinates of vertex A are (0,-1) and D(1,0) and E(0,1) are respectively the mid-points of the sides AB and AC. If F is the mid-point of BC, find the area of ∆DEF.

Answer 1

You have the co-ordinates of point A ,D and E where D and E are midpoints of the respective sides....so by midpoint theorem u can get the co-ordinates of B and C point. Then again use midpoint theorem on line BC and get co-ordinates of F point. Then you will have all the co-ordinates of the triangle DEF so use the area of the triangle formula and do it.

Thnq