# Diagonals AC and BD of a quadrilateral ABCD intersect each other at P.Show that ar (APB) x ar (CPD) = ar (APD) x ar (BPC

1
by San11

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by San11

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let

side = 2

4triangles will be formed apb,bpc,cpd,apd

area of apb = area of cpd

area of triangle = 1/2xbxh=1/2x2x1=1cmsquare

area of bpc and apd = 1/2x2x1=1cm square

so