Question

Question 3
Write True or False and justify your answer :
PQRS is a parallelogram whose area is $180c{m}^2$ and A is any point on the diagonal QS. The area of $\Delta ASR=90c{m}^2$.

Answer 1

False.
Given, the area of parallelogram PQRS = $180c{m}^2$ and QS is its diagonal which divides it into two triangles of equal area.

So, area of $\Delta SRQ=\frac{180}{2}=90c{m}^2$.
Now, A is any point on QS.
So, area of $\Delta$ ASR < area of $\Delta$ SRQ.
i.e., area of ASR cannot be $90c{m}^2$.