Question

Triangle ABC and triangle DEF are equilateral triangles and A (triangle ABC ) : A (triangle DEF) = 1: 4 ..IF BC = 4CM WHAT IS EF? ​

Answer 1

Answer:

∆ABC and ∆DEF are equilateral triangles.

so, angle A = Angle C = Angle D = 60°

and

Angel D = Angle E = Angle F = 60°

hence ∆ABC and ∆DEF are similar triangles

AB/DE = BC/EF = CA/FD and Area of ∆ABC / Area of ∆ DEF = (AB/DE)² = (BC/EF)² = (CA/FD)²

Hence, A (∆ABC)/ A (∆DEF) = 1/4 = (1/√16)²

so, AB/DE = BC/EF = CA/FD = (1/√16)²

BC/EF = 1/√16

EF=BC√16

=4√16 [BC = 4cm]

also can be 2√8 .

Step-by-step explanation:

hope this answer helps you take care!