Question

triangle ABC and triangle d e f are equilateral triangle area of triangle ABC is to area of triangle d e f equal to 1 is to 2 if a b equal to 4 then find the length of theDE​

Answer 1

Ratio is 1:2

side AB and side DE are corresponding sides.

If side AB is 4 then side DE will be 2×4=8

Equation method -

Let one side of equilateral triangle be x.

1x:2x

1×4:2×4

4:8

Therefore side DE = 8 units.