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Question

ABCD and BCFE are parallelograms. If area of triangle EBC=960cm2 AB=30cm and BC=40cm ; Calculate area of triangle ECF.

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Solution

We know that the diagonal of a parallelogram divides it into two triangles of equal area.
Clearly, EC is the diagonal of parallelogram which divides it into two triangle of equal area viz. triangle EBC and triangle ECF.
Given area of triangle EBC = 960 cm2
Therefore, area of triangle ECF = 960 cm2.

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