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 `A X_|_D E` meets BC at Y. Show that: (i) `DeltaM B C~=DeltaA B D` (ii) `a r"\ "(B Y X D)"\ "="\ "2"\ "

ABC is a right triangle right angled at A. BCED, ACFG and ABMN aresquares on the sides BC, CA and AB respectively. Line segment A X_|_D E meets BCat Y. Show that:(i) DeltaM B C~=DeltaA B D (ii) a r\ (B Y X D)\ =\ 2\

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: ar(BYXD) =2ar(MBC)

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: ar(BYXD) = ar(ABMN)

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: ar(CYXE) = ar(ACFG)

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: ar(CYXE) = 2ar(FCB)

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: triangleMBC congtriangleABD

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: triangleFCB congtriangleACE

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segent AX bot DE meets BC at Y. Show that: ar(BCED) = ar(ABMN) + ar (ACFG)

In figure, A B C is a right triangle right angled at A .\ B C E D ,\ A C F G\ a n d\ AB M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Y . Show that: a r\ (C Y X E)=\ a r\ (A C F G) .