Question

In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. What is the length, incentimeters, of EF?AEO A. 12B. 6C 18D. 4

Answer 1

Since the large triangle is equilateral and has a perimeter of 36, each side is:

`(36)/(3)=12`

And since vertices of DEF are the midpoints of the sides of equilateral triangle ABC, so,

AD = DB = BE = EC = CF = FA = 6

The 4 triangles created are all equilateral triangles with sides "6".

Thus,

EF = 6 cm

AnswerB