in the given figure , PQRS is a parallelogram. L is any point on PS and M is any point on QR. Show that ar (triangle PMS)=ar (triangle PLQ)+ar (triangle LRS)
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The required figure is attached in image.
Area of parallelogram = PQxAQ
Triangle OPQ have same base as that of parallelogram but height QB is half of height of parallelogram QA.
Area of triangle is half of PQxQB
= 4PQ∗QA
= 4/1 of area of parallelogram PQRS
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