Question

If p and q are any two points lying on side dc and ad respectively of parrelleogram abcd then prove that area of apb= area of bqc

Answer 1

Answer:

Construct PR perpendicular AB and SQ perpendicular BC.

ar (APB)=1/2 (AB)(PR)= 1/2ar (ABCD)---i

ar (BQS)=1/2 (BC)(QR)=1/2ar(ABCD)---ii

clearly,i=ii

thus,ar (APB)=ar (BQS)

Step-by-step explanation:Area of a triangle drawn with a side of a parallelogram to any point on its opposite parallel is equal to half of the area of the parallelogram