If 
are equilateral triangles, where D is the mid point of BC, find the ratio of areas of 
.
ABC and 
BDE is an equilateral triangles
ABC
DEF [By SAS]
By area of similar triangle theorem
Area(
) =AB2 [D is the midpoint of BC]
Area (
) BD2
=4BD2/BD2
=4/1
Area(
) = 4:1 Area (
)
21