In a ` A B C ,\ E` is the mid-point of median `A Ddot` Show that `a r\ ( B E D)=1/4a r\ ( A B C)`

In a triangle ABC , E is the mid-point of median AD . Show that a r\ (B E D)=1/4a r\ (A B C)

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot

If A D is a median of a triangle A B C ,\ then prove that triangles A D B\ a n d\ A D C are equal in area. If G is the mid-point of median A D , prove that a r\ (triangle B G C)=2\a r\ (triangle \ A G C) .

D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r\ (\ B O E)=1/8a r\ (\ A B C)

A B C is a triangle in which D is the mid-point of BC and E is the mid-point of A D . Prove that area of triangle B E D=1/4area \ of triangle A B C . GIVEN : A triangle A B C ,D is the mid-point of B C and E is the mid-point of the median A D . TO PROVE : a r( triangle B E D)=1/4a r(triangle A B C)dot

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ ( B D E)=1/2a r\ ( B A E)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B C. If A E intersects B C in F , Prove that: a r( B D E)=1/4a r\ (\ A B C) .

In Fig.9.23, E is any point on median AD of a DeltaA B C . Show that a r\ (A B E)\ =\ a r\ (A C E)dot

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A D . Prove that area of B E D = 1/4 area of ABC.

A D is one of the medians of a A B Cdot\ \ X is any point on A D . Show that a r( A B X)=a r\ ( A C X)