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Question 3
Write True or False and justify your answer :
PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS. The area of ΔASR=90 cm2.

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Solution

False.
Given, the area of parallelogram PQRS = 180 cm2 and QS is its diagonal which divides it into two triangles of equal area.


So, area of ΔSRQ=1802=90 cm2.
Now, A is any point on QS.
So, area of Δ ASR < area of Δ SRQ.
i.e., area of ASR cannot be 90 cm2.

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