Q: 8 In Fig. , ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segment meets BC at Y. Show that:
(vi)
Since ar( ||gm CYXE) = 2. ar(ACE) {in part (v)}...................(i)
Also, FCB and quadrilateral ACFG lie on the same base FC and between the same parallels FC and BG.
Therefore, ar (quad. ACFG) = 2.ar(FCB) ................(ii)
From eq (i) and eq (ii), we get
Hence proved