Question

If area of parallelogram PQRS is 346 cm², then the area of ∆PSR will be 173 cm².
(True or False)​

Answer 1

Answer:

PQRS is a parallelogram.

We know that diagonal (QS) of a parallelogram divides parallelogram into two triangles of equal area, so

∴ar(ΔQRS)=

2

1

ar(∥gmPQRS)

=

2

1

×180=90cm

2

∵ A is any point on SQ

∴ar(ΔASR)<ar(ΔQRS)

Hence, ar(ΔASR)<90cm

2

Hence, the given statement is false