Question

In a triangle ABC, E is the mid point of the median AD. What will be the ratio of the area of triangle BED and triangle ABC.

Answer 1

in ABC

ar ABP = ar APC (median divides a triangle into 2 triangles of equal area) - (1)

in ABP

ar ABE = ar BED ( same reason as above)

ar ABP = 1/2 ar ABC ( from 1)

ar BED = 1/2 ar ABP

so, ar BED = 1/2 ( 1/2 ar ABC )

ar BED= 1/4 ar ABC

ratio of BED is to  ABC=

1 is to 4

Answer 2

Answer:1:4

Step-by-step explanation: