Mathematics
In the following figure, G is centroid of the triangle ABC. Prove that : (i) Area (△ AGB) = x Area (△ ADB) (ii) Area (△ AGB) = x Area (△ ABC)
Related Questions
The following diagram shows two parallelograms ABCD and BEFG.
Prove that :
Area of // gm ABCD = Area of // gm BEFG.

In the parallelogram ABCD, the side AB is produced to the point X, so that BX = AB. The line DX cuts BC at E. Prove that
(i) DBXC is a parallelogram.
(ii) Area (△ AED) = 2 x area (△ CEX).
Use the information given in the following figure to show that ar.(ABCQ) = ar.(ABCDE).

[Given : l // m and p // n]
If each diagonal of a quadrilateral divides it into two triangles of equal areas, then prove that the quadrilateral is a parallelogram.