Question

in the following, if triangle ABC and triangle DEF are equilateral then what will be Angle C + Angle D + Angle E + Angle F ???​

Answer 1

Step-by-step explanation:

Length of the side DE is 472.

Step-by-step explanation:

Given: A ABC and A DEF are Equilateral triangles.

ar(A ABC) : ar(A DEF) = 1:2

AB = 4

To find length of DE.

We know that All Equilateral triangles are similar to each other.

So, we use a result which states that,

If two triangles are similar then ratio of the area of triangles is equal to square to the ratio of the corresponding sides.

So we have,

A ABC A DEF AB DE

=

VI - DE

DE = 4/2

Therefore, Length of the side DE is 4v2.