The diagonals of a trapezium ABCD with A...

The diagonals of a trapezium ABCD with AB||DC intersect each other at point O. If AB = 2CD, find the ratio of the areas of triangle AOB and COD.

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Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

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In the trapezium ABCD,AC and BD intersect at O and also AB=2CD If the area of A O B=84 c m^2, find the area of C O Ddot

The bisectors of angleB and angleC of a quadrilateral ABCD intersect each other at point P. Show that P is equidistant from the opposite sides AB and CD.

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .

The diagonals of a quadrilateral ABCD intersect each other at the point O such that (A O)/(B O)=(C O)/(D O) . Show that ABCD is a trapezium.

In parallelogram ABCD, P is mid-point of AB. CP and BD intersect each other at point O. If area of DeltaPOB=40cm^(2) and OP:OC= 1:2 , find : (i) Areas of DeltaBOC and DeltaPBC (ii) Areas of DeltaABC and parallelogram ABCD.

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