Pentagon ABCDE is such that all five diagonals AC, BD, CE, DA and EB lie entirely within it. If the area of each of the triangle ABC, BCD, CDE, DEA and EAB is equal to `1 cm^2`, the area of the pentagon is:

The diagonals of quadrilateral ABCD, AC and BD intersects at O. Prove that if BO = OD then the triangles ABC and ADC are equal in area.

The diagonals AC and BD of a quadrilateral ABCD intersect at point 'O'. If BO = OD, then prove that the areas of Delta ABC and Delta ADC are equal

The sides AD, BC of a trapezium. ABCD are parallel and the diagonals AC and BD meet at O. If the area of triangle AOB is 3 cm and the area of triangle BDC is 8 cm2, then what is the area of triangle AOD?

The given figure shows a pentagon ABCDE .drawn parallel to DA meets BA produced at G and CF drawn parallel to DB meets AB produced at F.Prove that the area of pentagon ABCDE is equal to the area of triangle GDF.

In the given figure ABC is a triangle in which CDEFG is a pentagon. Triangles ADE and BFG are equilateral triangles each with side 2 cm and EF = 2 cm. Find the area of the pentagon :

ABC is a right triangle with right angle at B, AC = 2. BC = 1 and BD is perpendicular to AC. The area of the rectangle with BD as one of its diagonal is

In trapezium ABCD, side AB is parallel to side DC. Diagonals AC and BD intersect at point P. Prove that triangles APD and BPC are equal in area.

In a right angled triangle ABC, median BD divides right angle in 2 : 1 find the area of Delta if BD = 10 cm angle B = 90^(@)