Question 3
Write True or False and justify your answer : PQRS is a parallelogram whose area is 180cm2 and A is any point on the diagonal QS. The area of ΔASR=90cm2.
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Solution
False.
Given, the area of parallelogram PQRS = 180cm2 and QS is its diagonal which divides it into two triangles of equal area.
So, area of ΔSRQ=1802=90cm2.
Now, A is any point on QS.
So, area of ΔASR < area of ΔSRQ. i.e., area of ASR cannot be 90cm2.