Question

3. In , E is the mid-point of median AD. If ar(ABC)=16
, find ar(BED)

Answer 1

Answer:

4 cm

Step-by-step explanation:

in triangle ABC

AD is the median

ar(ABD)=ar(ACD) (median divides the triangle into two equal triangles)

so ar(ABD)=1/2 ar(ABC)_____Eq.1

in triangle ABD

ar(BED)=ar(AED) (median divides the triangle into two equal triangles)

 ar (BED)=1/2 ar (ABD)_____Eq.2

BY Eq. 1 and eq.2

ar (BED)=1/2 ar (ABD)

           =1/2(1/2 ar (ABC))

           =1/4 ar(ABC)

since ar(ABC) = 16

ar(BED)=1/4*16

          =4cm