PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS. The area of △ASR = 90 cm2. Find this statement is true or false. -Maths 9th

PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS. The area of △ASR = 90 cm2. Find this statement is true or false. -Maths 9th
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1 Answer

Answer :

Solution   :- As diagonal of the parallelogram divides it into two triangles of equal area. Since,    area (△SRQ ) = 1/2 area(PQRS)              area (△SRQ ) = 1/2 x 180                                    =  90 cm2  But area(△ASR ) = 90 cm2   (Given) This is not possible unless area (△SRQ ) = area (△ASR ) So, the given statement is false.
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