Question

∆ABC~∆DEP and A(∆ABC):A∆(DEF)=1:2 If AB=4 find DE

Answer 1

if value of √2 is given than place it

OR

this is your required answer

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Answer 2

ABC~DEF

So, ar(ABC)/ar(DEF)=AB^2/DE^2

(by the theorem of area of

similar triangles is equally

propotional to the square

of two corresponding

side)

1/2 = (4)^2/DE^2

1/2 = 16 / DE^2

by cross multiplication

32 = DE^2