Question

in a triangle TWO, M is mid point of TO and N is mid point of WN, . Prove that area of Trangle of MEN =1/12(tr.TWO)​

Answer 1

since D,E and F are the midpoints of AB, BC and CA of triangle respectively

coordinate of D=(20+2,2−1+1)=(1,0)

coordinate of E=(22+0,21+3)=(1,2)

coordinate of F=(20+0,2−1+3)=(0,1)

∴ar(△DEF)=21[1(2−1)+1(1−0)+0(0−2)]=1sq.unitandar(△ABC)=21[0(1−3)+2(3+1)+0(−1−1)]=4sq.unit