Question

(4) A ABC and A DEF are equilateral
triangles, A(AABC):A(ADEF)=1:2
If AB = 4 then what is length of DE?
)
(B) 4 (C) 8
ANSWER. URGENTLY NEEDED​

Answer 1

I hope it will help you.....

Answer 2

Answer:

Step-by-step explanation:

This cane be also solved by similar triangles property:-

The ratio of areas of two similar triangles is equal to the ratio of the squares of the corresponding sides

all equilateral triangles are similar

=>∆ABC~ ∆DEF

=>A(∆ABC):A(∆DEF)=(AB/DE)²

=>1/2=(4/DE)²

= 1/2=16/DE²

=>DE²=16×2

=>DE=√(16×2)

=>DE=4√2 units

$\huge{\boxed{\rm{\red{answer=4√2 units}}}}$