Question

∆ABC and ∆DEF are equilateral triangles .If A ( ∆ABC) : A ( ∆DEF ) = 2 : 3 and AB = 6 ,

Find DE .​

Answer 1

Answer:

Consider , A(ΔABC):A(ΔDEF) = 1 :2

⇒

A(ΔDEF)

A(ΔABC)

=

2

1

⇒

DE

2

AB

2

=

2

1

⇒DE

2

=2AB

2

⇒DE

2

=2×4

2

[∴AB=4]

⇒DE=

32

⇒DE=4

2