Question

BD is one of the diagonals of a quadrilateral ABCD.AM and CN are the perpendiculars from A and C respectively.on BD. Show that area (quadrilateral ABCD)=1/2 BD.(AM+CN)

Answer 1

ar(ABCD) = ar(ABD) + ar(BCD)

= 1/2 BD * AM + 1/2 BD * CN

= 1/2 BD(AM + CN)