The diagonals of quad. ABCD intersect at O .Prove that if BO = OD, then ar (triangle ABC) = ar (triangle ADC).
given: ABCD is a quadrilateral. diagonals AC and BD intersect at O. and BO=DO
construction: draw the perpendiculars AE and CF from A and C, such that
AE⊥BD and CF⊥BD
adding (1) and (2)
which is the required result.