Question

show that the diagonals of a parallelogram divide it into four Triangles of equal area

Answer 1

Answer:

Step-by-step explanation:

In triangle ABD ,OA is median

ar(AOB)=ar(AOD)___(1)

In triangle ABC ,BO is median

ar(AOB)=ar(BOC)____(2)

In triangle BCD , CO is median

ar(BOC)=ar(COD)____(3)

from (1),(2),(3),we get

ar(AOB)=ar(BOC)=ar(COD)=ar(AOD)