Mathematics
E, F, G and H are the mid-points of the sides of a parallelogram ABCD. Show that area of quadrilateral EFGH is half of the area of parallelogram ABCD.
Related Questions
The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6 : 5 : 4. Find the lengths of its sides.
In parallelogram ABCD, E is a point in AB and DE meets diagonal AC at point F. If DF : FE = 5 : 3 and area of △ ADF is 60 cm2; find :
(i) area of △ ADE
(ii) if AE : EB = 4 : 5, find the area of △ ADB.
(iii) also, find area of parallelogram ABCD.
In the following figure, OAB is a triangle and AB // DC.

If the area of △ CAD = 140 cm2 and the area of △ ODC = 172 cm2, find
(i) the area of △ DBC
(ii) the area of △ OAC
(iii) the area of △ ODB