XY is a line parallel to side BC of a triangle ABC. If `B E"\ "||"\ "A C` and `C F"\ "||"\ "A B` meet XY at E and F respectively, show that `a r"\ "(A B E)"\ "="\ "a r"\ "(A C F)`

XY is a line parallel to side BC of a triangle ABC . If B E ||A C and C F\ ||\ A B meet XY at E and F respectively, show that a r\ (A B E)\ =\ a r\ (A C F)

XY is a line parallel to side BC of a triangle ABC. If BE||AC and CF ||AB meet XY at E and F respectively , show that ar(ABE)=ar(ACF)

XY is a line parallel to side BC of a triangle ABC. If BF ||AC and CF || AB meet XY at E and F respectively, show that ar (ABE) = ar (ACF)

X Y is a line parallel to side B C of triangle A B C . If B E II A C and C F II A B meet X Y at E and F respectively.Show that a r( A B E)=a r( A C F)dot

XY is a line parallel to side BC of triangle ABC. If BE II AC and CF II AB meet XY at E and F respectively,show that ar (ABE) = ar (ACF).

X Y is a line parallel to side B C of triangle A B C. BE ll AC and CF ll AB meet XY in E and F respectively. Show that a r( A B E)=a r( A C F)dot

X Y is a line parallel to side B C of /_\ A B C . B E || AC and C F || A B meet X Y in E and F respectively. Show that a r( A B E)=a r( A C F) .

X Y isa line parallel to side B C of A B CdotB E A and C F A B meet X Y in E and F respectively.Show that a r( A B E)=a r( A C F)dot

O is any point inside a triangle A B C . The bisector of /_A O B ,/_B O C and /_C O A meet the sides A B ,B C and C A in point D ,E and F respectively. Show that A D * B E * C F=D B * E C * F A

In Figure, the incircle of A B C touches the sides B C ,\ C A and A B\ a t\ D ,\ E and F respectively. Show that A F+B D+C E=A E+B F+C D=1/2(P e r i m e t e r\ of\ A B C) .